SlideShare a Scribd company logo
1 of 7
Download to read offline
ejerciciosyexamenes.com

                                                  DERIVADAS

       1. y = 5x6-3x5+3x3-2                                               2. y = x-4+2x-3+x-4
                                          3
       3. y = 3 x10 + 2 x +                                      4. y = 3 . x 3 - π . x +                   3
                                          x
                                                                                                        2
       5. y = 4 senx - 3 cosx                                             6. y = 2             x +        + x5
                                                                                                        x
                                                                           π
       7. y = 4x3 + 2x3 - x3 + 4                                 8. y =       . cos x - 3 x
                                                                           2
       9. y = cos(3x)                                                      10. y = cos2(x3)
       11. y = sen (3x2-2x)                                      12.   y = cos(x2)
       13. y = sen3(2x2)                                         14.   y = cos4(3x4)
       15. y = 3 sen2(2x-3)                                      16.   y = cos5(3x2)
       17. y = cos (senx)                                        18.   y = cos2(sen(3x))
       19. y = 3 cos2 x                                          20.    y = 3 cos 2 ( x2 )
       21. y = x2 - 3x                                           22. y = 3 ( x 2 - 3x )2
       23. y = 2 (           x - 3x   )
                                      3
                                                                 24. y = 3 sen 2 x
       25. y = 5 sen(3x)                                         26. y = 3x - senx

                 (
       27. y = 3 x 2 -           1 - x2   )   3
                                                                 28. y = sen       (        3 x2 - 5x   )
       29. y = sen3 x + (x - 1 )3                                30. y = cos3 x2 - 3 x (                )
               x                                                         5
       31. y =                                                   32. y =
               5                                                         x
                 4                                                         3
               x - 3x                                                    x -3
       33. y =                                                   34. y =
                   4                                                        x
               ( x - 3x )2
                   4
                                                                         (x - 1 )3
       35. y =                                                   36. y =
                     3                                                      3x
                   2
                 x                                                         3x
       37. y = 2                                                 38. y =
               x -1                                                        x
                     3                                                         x
       39. y =                                                   40. y =
                     x                                                         3x
       41. y = 3 3 x 2 - senx                                    42. y = l n (3x - 1)
       43. y = l n ( x - 3x) 2
                                                                 44. y = l n x - 2
       45. y = log 2 (3 x 2 )                                    46. y = e x
                                                                               2




       47. y = 2 x                                              48. y = e x - 2x
                                                                               2



       49. y = 3sen x                                    50. y = tg ( x3 )
       51. y = 3 e x - 3x                                        52. y = ecosx
                         2



       53. y = 3 tg 2 x                                          54. y = ( x2 - 1) .(x - 1)
       55. y = x2 . l n x                                        56. y = e x . cos x
                                                                               2



       57. y = x4 . e 3 x                                        58. y = ex
                                                                               4 -3 2
                                                                                   x
                                                                                           . sen x
ejerciciosyexamenes.com

                                                                           1
       59. y = l n x2 . esen x                              60. y =
                                                                       ln x
                                     3
                2-3 
       61. y =  x2
                                                          62. y = l n x . e x - senx
                                                                                          2

                      
                x +1 
                                                                                              2
                                                                     ln 2 
       63. y = ( cos 3x - sen x
                          2                  3
                                                 ).e   x3
                                                            64. y =  3 x 
                                                                              
                                                                     x -2 
                                                                      x
                 lnx                                                    +l n x
       65. y =                                              66. y = e 2
                     3x                                              x - senx
                    sen x                                            sen x
       67. y = l n                                        68. y =
                    e       
                         x
                                                                        x- 1

                                                            70. y = ( sen ( e3x )                 )
                   4      2
               3 - 2 x + 3x - 2
       69. y = x
                                                                                                  2
                                                                                                      . cos x
                      2 x -1
       71. y = arctg ( x 2 )                                72. y = arcsen x 3
       73. y = l n ( sec x)                                 74. y = arctg (l n x)
       75. y = arcsen x . ecosx                             76. y = arctg ( e 3x )
                    tgx                                                   x +1 
       77. y = l n  3 x2                                  78. y = arcsen       
                   e                                                      e    
                                                                                x


       79. y = l n ( arctg(5x) )                            80. y = arctg x 3
       81. y = 5 arctg2 (senx)                              82. y = 3arctg( x )
                                                                             2



               arcsen (3x - 2)                                      sen x - tg x
       83. y =                                              84. y =
                      x2                                                  4x - 3
                                                                                     2
       85. y = x senx                                       86. y = (sen x )x
                                3
       87. y = ( cos x )x - x                               88. y = 4arctg ( l n x)
                                                                                                           x2
                    x+ 2 
                                         3
                                                                                3x
                                                                                     
       89. y = l n                                               90. y =  e
                                                                            senx   
                    x    
                       2
                                                                                    
                       senx-e x                                        tg x 
       91. y = 10  3x- cosx 
                                                          92. y = cos              
                            
                                                                         sen (l n x) 
                                                                                     
                    x
                       cosx
                                                                                         tgx 
       93. y =                                              94. y = cos2 (4 e x ) . l n  x 2 
                 (l n x )3                                                               3 
                   2   x                                                   l n ( cos x)
                sen ( e )
       95. y =   3                                          96. y = e
               arctg (cosx)                                                5 cos x

                                                            98. y = ( tg ( e x ) + x 2 )
                     cos( e x ) . x                                                                    x
       97. y =                tgx
                           e
                     arctg e x . cos x                                   l n cos x
       99. y =                                              100. y =
                       l n ( x 2 - x)                                    sen ( ecosx )
ejerciciosyexamenes.com

        SOLUCIONES                             Todas las soluciones se dan sin simplificar

1. y′ = 30 x 5 - 15 x4 + 9 x 2                        2. y′ = - 4 x-5 - 6 x -4 + 1
                   1    3
3. y′ = 30 x9 +       - 2                             4. y′ = 3 3 . x2 - π
                    x   x
                                                             1       2
5. y′ = 4 cos x + 3 sen x                             6. y′ =    - 2 + 5 x4
                                                              x     x
                                                             π                3
7. y′ = 15 x 2                                     8. y′ = - sen x -
                                                             2              2 x
9. y′ = - 3 sen(3x)                                10. y′ = - 2 cos( x ) . sen( x3 ) . 3 x 2
                                                                        3


11. y′ = cos (3 x2 - 2x) . (6x - 2)                12. y′ = - sen( x 2 ) . 2x
13. y′ = 3 sen 2 (2 x 2 ) . cos(2 x 2 ) . 4x       14. y′ = 4 cos 3 (3 x4 ) . ( - sen(3 x4 ) ) . 12 x 3
15. y′ = 6 sen(2x - 3) . cos(2x - 3) . 2           16. y′ = 5 cos 4 (3 x 2 ) . (-sen(3 x 2 )) . 6x
17. y′ = - sen(senx) . cosx                 18. y′ = 2 cos(sen3x) . (-sen(sen3 x)) . cos 3x . 3
          - 2 cosx . senx                                    - 2 cos( x 2 ) . sen( x 2 ) . 2x
19. y′ =                                           20. y′ =
             3 3 cos 4 x                                              3 3 cos 4 ( x2 )
              2x - 3                                         2 ( x 2 - 3x) (2x - 3)
21. y′ =                                           22. y′ =
          2 x2 - 3x                                             3 3 ( x 2 - 3x )4

             (
23. y′ = 3 2 x - 3x . 
                              2
                                   )
                                  1
                                  x
                                               
                                           - 3  24. y′ =
                                               
                                                             2 senx cosx
                                                               3 3 sen 4 x
             3 cos 3x                                           3 - cosx
25. y′ =                                           26. y′ =
          5 5 sen4 (3x)                                      2 3x - senx

27. y′ = 3   ( 3x    2
                         -
                                
                             .  6x -
                             1 - x2
                                      )
                                       2- 2x               
                                                            28. y′ = cos
                                                           
                                                                            (           )
                                                                                3 x2 - 5x .
                                                                                                  6x - 5
                                                                                                  3 x 2 - 5x
                                     2 1 - x2                                               2
        3   2
              x cosx + 3 (x - 1 )2
29. y′ = sen                        30.
          2 sen 3 x + (x - 1 )3

                 (             )           (
 y′ = - 3 cos 2 x 2 - 3 x . sen x 2 - 3 x .  2x -) 3 
                                                        
                                                  2 x 
           1                                           5
31. y′ =                                     32. y = - 2
           5                                           x
               3
           4 -3                                               3
33. y′ = x                                   34. y′ = 2x + 2
               4                                              x
                          2
                 4
           2 ( - 3x ) . (4 x - 3)3
                                                      3 (x - 1 )2 . 3x - 3 (x - 1 )3
35. y′ = x                                   36. y′ =
                          3                                       (3 x )2
                                                         3
                    2          2                                . x - 3x
           2x ( x - 1) - x . 2x                       2 3x
37. y′ =                                     38. y′ =
                   ( x2 - 1 )2                                   x2
ejerciciosyexamenes.com

                                                                                3
                                                                  3x - x
               1               -3                                             2 3x
39. y′ =            2
                       .                             40. y′ =
              3   x                                                      3x
           2
              x
             6 x - cosx                                           3
41. y′ =                                             42. y′ =
                                            2
           3   3           2
                   (3 x - senx )                                3x - 1
                                                                1
         2x - 3
43. y′ =                                             44. y′ = 2 x - 2
         x 2 - 3x                                               x-2
              6x
45. y′ = 2                                           46. y′ = e x . 2x
                                                                  2


         3 x . l n2
47. y′ = 2x . l n2                                   48. y′ = e x - 2x . (2x - 2)
                                                                  2



                                                                   3 x2
49. y′ = 3sen x . cos x . l n3                       50. y′ =
                                                              cos2 ( x3 )
                                                              - cosx senx
51. y′ = 3 e x -3x . (2x - 3)                        52. y′ = e cosx
                   2


                                                                 2 e
           6 tgx
53. y′ =                                             54. y = 2x (x - 1) + ( x 2 - 1)
           cos 2 x
                                        2
55. y′ = 2x . l n x + x                              56. y′ = e x 2x cos x - e x senx
                                                                  2                  2


                      x
57. y′ = 4 x . e + x4 e3x . 3                        58. y′ = e x - 3 x . (4 x 3 - 6x) sen x + e x -3 x cos x
            3    3x                                              4     2                          4    2



                                                                        1
                                                                - 2 x
           2x                                                            x
59. y′ =           . esen x + l nx 2 e sen x cos x   60. y′ =
           x   2
                                                              (l n x )2
                                    2
               2 - 3  2x ( x 2 + 1) - ( x2 - 3) 2x
61.   y′ = 3  x2
                        .
                        
               x +1                ( x2 + 1 )2
           1
62.   y′ = . ex -senx + l nx . e x - senx (2x - cosx)
                  2                2


            x
63.   y′ = ( 2 cos 3x (-sen3x) 3 - 3 sen 2 x cosx ) . e x + ( cos2 3x - sen 3 x) e x 3 x 2
                                                            3                          3



                               2x 3
                                  ( - 2) - l nx2 3 x2
               l n x  x2 x
                     2
64.   y′ = 2  3
                         .
                         
               x -2                ( x3 - 2 )2
            1 x                                        x 1  2
                             x
               3 - ln x 3 l n3                         e +  ( x - senx) - ( ex + l nx) (2x - cosx)
                                             66. y′ = 
                                                              x 
65.   y′ = x           x 2
                    (3 )                                               ( x 2 - senx )2
              x
                 cos x e x - e x sen x                    1         cosx (x - 1) - senx
67.   y′ = e                    2
                                             68. y′ =             .
           senx           ( ex )                          sen x           (x - 1 )2
                                                      2
                                                           x -1
ejerciciosyexamenes.com

           (12 x 3 - 4x + 3) (2x - 1) - (3 x4 - 2 x2 + 3x - 2) . 2
69. y′ =
                                 (2 x - 1 )2
70. y′ = 2    (   sen ( e 3x )   ) . cos ( e
                                           3x
                                               ) . e3x 3 cosx - (sen( e3x ) ) . senx
                                                                            2


              2x                                                                3 x2
71.   y′ =                                                        72. y′ =
           1 + x4                                                              1 - x6
             senx                                                                    1
                 2
73.   y′ = cos x                                                  74. y′ =           x
            sec x                                                            1 + (l n x )2
               cos x                                                              3x
                                                                                     .3
75.   y′ = e 2 - arcsen x ecos x sen x                            76. y′ = e 3x 2
              1- x                                                           1 + (e )
                          2                                                      x              x
                        3
                      e x - tgx 3 x 2 6x                                       e - (x + 1) e
               2                        e
           e3 x . cos2 x                                                             ( e x )2
77.   y′ =                                                        78. y′ =
           tgx                   ( )
                               e 3x
                                    2 2


                                                                               1- 
                                                                                      x+ 1 
                                                                                                 
                                                                                                   2


                                                                                      e 
                                                                                              x


                                                                               3 x2
                 1               5                                            2 x3
79.   y′ =                                                        80. y′ =
           arctg(5x) 1 + (5x )2                                              1 + x3
                                         cos x                                               2x
81.   y′ = 10 arctg (senx)                                        82. y′ = 3arctg ( x )
                                                                                      2

                                               2
                                                                                                     ln3
                                     1 + sen x                                            1 + x4
                   3 x2
                                - arcsen (3x - 2) 2x
              1 - (3x - 2 )2
83.   y′ =
                                  x4
                           1                                      4
            cosx -               4x - 3 - (sen x - tg x)
      y′ =             cos x 
                             2
                                                                 2 4x - 3
84.
                                            4x - 3
      y′ =  cosx . l n x +
                                     senx 
85.                                          . xsenx
                                       x 
                                        2
                                           cosx 
      y′ =  2x l n (senx) + x                     (sen x ) x
                                                               2
86.                                              
                                        senx 
                                        ( 3 - x) senx   
87. y =  (3 x 2 - 1) l n cos x - x                       . (cosx )x - x
                                                                     3

                                                        
                                             cosx       
                                 1
88. y′ = 4 arctg( l n x) .       x        . ln4
                           1 + (l n x )2
                      x + 2  x 2 - 2x (x + 2)
                                                2
                  1
89. y′ =        3
                  .3         .
          x+2       x     
                          2
                                      x4
              
          x   
             2
ejerciciosyexamenes.com

                                                                                                                                2
                                   e3x             3x
                                          2 senx 3 e senx - e cosx
                                                                    3x
                                                                             e3x  x
90. y′ =  2x l n x
                                  
                                   + x
                                     senx                                  .
                                                                             senx    
                                          e3x            sen 2 x                   
             senx-e x                    x                           x
                                  (cosx - e ) (3x - cosx) - (senx - e ) (3 + senx)
91. y′ = 10 3x- cosx  . l n 10
            
            
                       
                       
                                                    (3x - cosx )2
                                         1         1                                        1
                                               .         . sen(l n x) - tg x . cos(l n x) .
                 tg x  cos x 2 x       2
                                                                                            x
92. y′ = - sen                   .
                 sen (l n x)                                   2
                                                           sen (l n x)
                          cosx  cosx                          2 1
          - senx l n nx +       x (l n x ) - x cosx 3 (l n x )
                                            3


93. y′ = 
                             x                                   x
                                         6
                                 (l n x )
94.
                                                                                                                         2
                                                                                  3 x - tgx . x2 . 2x . l n 3
                                                                                             3
                                                   tgx 
                                                                                2
                                                                              x      2
y′ = 2 cos (4 e x ) . (-sen(4 e x ) . 4 e x . l n  x2  + cos 2 (4 e x ) . 3 cos x
                                                   3                      tgx
                                                                                              2
                                                                                            3x 2                                    ( )
                                        l n (cosx)   - senx
                                        e                   . 5 cosx - el n (cosx) . 5cosx (-senx) l n 5
                   1                                  cosx
95. y =                             .
               2   e
                       l n (cosx)
                                                                     ( 5 cosx )2
                       5cosx
96.
                                                                                                                                    1
                                            2 sen( e x ) . cos( e x ) . e x . arctg(cosx ) - sen2 ( e x ) .                                . (-senx)
                   1                                                                                                           1 + cos 2 x
y′ =                                    .
                 sen2 ( e x )                                                              arctg2 (cosx)
       3   3
               arctg ( cos x)

               - sen( e x ) ex x + cos( ex )                     tgx                                    1                      1
                                             .                  e      -         cos( e x ) . x .                 . etgx .
                          cos( e x ) . x                                                            2   e   tgx
                                                                                                                             cos 2 x
97. y′ =                                                                   tgx
                                                                       e
                                    e                    x
                                             + 2x 
98. y′ =  ln ( tge + x 2 ) + x cos e 2             . ( tg ( x ) + 2 )x
                                     2      x
                    x                  ( )
                                         x                 e       x
                                    tge + x
                                                  
                                                  
99.
                                    e
                                        x
                                                                                                 2x - 1
                               
                                1 + ( e x )2 cosx - arctg e senx  l n ( x - x) - (arctg e cosx) x 2 - x
                                                               x                 2         x
                                                                        
                             . 
               1                                                        
 y′ =             x
         arctg e . cos x                                          l n ( x 2 - x)
                                                                     2

      2
            l n ( x2 - x)
ejerciciosyexamenes.com

             1    - senx
                         sen( ecosx ) - l n cos x cos( ecosx ) e cosx (-senx)
100. y′ =   cosx 2 cosx
                                   sen 2 ( ecosx )

More Related Content

What's hot

Jacob's and Vlad's D.E.V. Project - 2012
Jacob's and Vlad's D.E.V. Project - 2012Jacob's and Vlad's D.E.V. Project - 2012
Jacob's and Vlad's D.E.V. Project - 2012Jacob_Evenson
 
001 basic concepts
001 basic concepts001 basic concepts
001 basic conceptsphysics101
 
01 derivadas
01   derivadas01   derivadas
01 derivadasklorofila
 
Integrated exercise a_(book_2_B)_Ans
Integrated exercise a_(book_2_B)_AnsIntegrated exercise a_(book_2_B)_Ans
Integrated exercise a_(book_2_B)_Ansken1470
 
Mcq for manavsthali( 7 worksheets)
Mcq for manavsthali( 7 worksheets)Mcq for manavsthali( 7 worksheets)
Mcq for manavsthali( 7 worksheets)KarunaGupta1982
 
Calculus First Test 2011/10/20
Calculus First Test 2011/10/20Calculus First Test 2011/10/20
Calculus First Test 2011/10/20Kuan-Lun Wang
 
Antiderivatives nako sa calculus official
Antiderivatives nako sa calculus officialAntiderivatives nako sa calculus official
Antiderivatives nako sa calculus officialZerick Lucernas
 
Lesson 11: Implicit Differentiation
Lesson 11: Implicit DifferentiationLesson 11: Implicit Differentiation
Lesson 11: Implicit DifferentiationMatthew Leingang
 
Bahan ajar kalkulus integral
Bahan ajar kalkulus integralBahan ajar kalkulus integral
Bahan ajar kalkulus integralgrand_livina_good
 

What's hot (20)

0307 ch 3 day 7
0307 ch 3 day 70307 ch 3 day 7
0307 ch 3 day 7
 
0308 ch 3 day 8
0308 ch 3 day 80308 ch 3 day 8
0308 ch 3 day 8
 
Jacob's and Vlad's D.E.V. Project - 2012
Jacob's and Vlad's D.E.V. Project - 2012Jacob's and Vlad's D.E.V. Project - 2012
Jacob's and Vlad's D.E.V. Project - 2012
 
001 basic concepts
001 basic concepts001 basic concepts
001 basic concepts
 
Sect1 4
Sect1 4Sect1 4
Sect1 4
 
01 derivadas
01   derivadas01   derivadas
01 derivadas
 
Integrated exercise a_(book_2_B)_Ans
Integrated exercise a_(book_2_B)_AnsIntegrated exercise a_(book_2_B)_Ans
Integrated exercise a_(book_2_B)_Ans
 
Lesson 22: Graphing
Lesson 22: GraphingLesson 22: Graphing
Lesson 22: Graphing
 
Lesson 22: Graphing
Lesson 22: GraphingLesson 22: Graphing
Lesson 22: Graphing
 
Unexpected ineq
Unexpected ineqUnexpected ineq
Unexpected ineq
 
Jackson d.e.v.
Jackson d.e.v.Jackson d.e.v.
Jackson d.e.v.
 
Chapter 04
Chapter 04Chapter 04
Chapter 04
 
Identidades
IdentidadesIdentidades
Identidades
 
0303 ch 3 day 3
0303 ch 3 day 30303 ch 3 day 3
0303 ch 3 day 3
 
Mcq for manavsthali( 7 worksheets)
Mcq for manavsthali( 7 worksheets)Mcq for manavsthali( 7 worksheets)
Mcq for manavsthali( 7 worksheets)
 
Sect1 2
Sect1 2Sect1 2
Sect1 2
 
Calculus First Test 2011/10/20
Calculus First Test 2011/10/20Calculus First Test 2011/10/20
Calculus First Test 2011/10/20
 
Antiderivatives nako sa calculus official
Antiderivatives nako sa calculus officialAntiderivatives nako sa calculus official
Antiderivatives nako sa calculus official
 
Lesson 11: Implicit Differentiation
Lesson 11: Implicit DifferentiationLesson 11: Implicit Differentiation
Lesson 11: Implicit Differentiation
 
Bahan ajar kalkulus integral
Bahan ajar kalkulus integralBahan ajar kalkulus integral
Bahan ajar kalkulus integral
 

Similar to Derivadas

6.6 parallel and perpendicular lines
6.6 parallel and perpendicular lines6.6 parallel and perpendicular lines
6.6 parallel and perpendicular linesMsKendall
 
Exercise set 3.5
Exercise set 3.5Exercise set 3.5
Exercise set 3.5math265
 
Straight Line Graphs
Straight Line GraphsStraight Line Graphs
Straight Line GraphsTrishdooley
 
EJERCICIOS DE VERANO PARA SEGUNDO DE ESO
EJERCICIOS DE VERANO PARA SEGUNDO DE ESOEJERCICIOS DE VERANO PARA SEGUNDO DE ESO
EJERCICIOS DE VERANO PARA SEGUNDO DE ESOangusoo
 
Lesson 2 see lesson plans
Lesson 2   see lesson plansLesson 2   see lesson plans
Lesson 2 see lesson plansAngela Phillips
 
A2 Chapter 6 Study Guide
A2 Chapter 6 Study GuideA2 Chapter 6 Study Guide
A2 Chapter 6 Study Guidevhiggins1
 
1 4 homework
1 4 homework1 4 homework
1 4 homeworkmath123b
 
Module 5 Inequalities
Module 5  InequalitiesModule 5  Inequalities
Module 5 Inequalitiesnorainisaser
 
MODULE 5- Inequalities
MODULE 5- InequalitiesMODULE 5- Inequalities
MODULE 5- Inequalitiesguestcc333c
 
Pc12 sol c03_3-5
Pc12 sol c03_3-5Pc12 sol c03_3-5
Pc12 sol c03_3-5Garden City
 
4.2 derivatives of logarithmic functions
4.2 derivatives of logarithmic functions4.2 derivatives of logarithmic functions
4.2 derivatives of logarithmic functionsdicosmo178
 
Yr.12 Transition Workshop 2012-2013
Yr.12 Transition Workshop 2012-2013Yr.12 Transition Workshop 2012-2013
Yr.12 Transition Workshop 2012-2013rdk.rdk
 

Similar to Derivadas (20)

Ecuaciones
EcuacionesEcuaciones
Ecuaciones
 
6.6 parallel and perpendicular lines
6.6 parallel and perpendicular lines6.6 parallel and perpendicular lines
6.6 parallel and perpendicular lines
 
Exercise set 3.5
Exercise set 3.5Exercise set 3.5
Exercise set 3.5
 
Straight Line Graphs
Straight Line GraphsStraight Line Graphs
Straight Line Graphs
 
EJERCICIOS DE VERANO PARA SEGUNDO DE ESO
EJERCICIOS DE VERANO PARA SEGUNDO DE ESOEJERCICIOS DE VERANO PARA SEGUNDO DE ESO
EJERCICIOS DE VERANO PARA SEGUNDO DE ESO
 
Lesson 2 see lesson plans
Lesson 2   see lesson plansLesson 2   see lesson plans
Lesson 2 see lesson plans
 
A2 Chapter 6 Study Guide
A2 Chapter 6 Study GuideA2 Chapter 6 Study Guide
A2 Chapter 6 Study Guide
 
A2 ch6sg
A2 ch6sgA2 ch6sg
A2 ch6sg
 
Ecuaciones de primer grado
Ecuaciones de primer gradoEcuaciones de primer grado
Ecuaciones de primer grado
 
1 4 homework
1 4 homework1 4 homework
1 4 homework
 
Module 5 Inequalities
Module 5  InequalitiesModule 5  Inequalities
Module 5 Inequalities
 
MODULE 5- Inequalities
MODULE 5- InequalitiesMODULE 5- Inequalities
MODULE 5- Inequalities
 
Cross product
Cross productCross product
Cross product
 
Final exam review #2
Final exam review #2Final exam review #2
Final exam review #2
 
E3 f1 bộ binh
E3 f1 bộ binhE3 f1 bộ binh
E3 f1 bộ binh
 
Pc12 sol c03_3-5
Pc12 sol c03_3-5Pc12 sol c03_3-5
Pc12 sol c03_3-5
 
4.2 derivatives of logarithmic functions
4.2 derivatives of logarithmic functions4.2 derivatives of logarithmic functions
4.2 derivatives of logarithmic functions
 
0309 ch 3 day 9
0309 ch 3 day 90309 ch 3 day 9
0309 ch 3 day 9
 
Yr.12 Transition Workshop 2012- 2013
Yr.12 Transition Workshop 2012- 2013Yr.12 Transition Workshop 2012- 2013
Yr.12 Transition Workshop 2012- 2013
 
Yr.12 Transition Workshop 2012-2013
Yr.12 Transition Workshop 2012-2013Yr.12 Transition Workshop 2012-2013
Yr.12 Transition Workshop 2012-2013
 

More from CEU Benito Juarez

Sistemas De Ecuaiones Lineales
Sistemas De Ecuaiones LinealesSistemas De Ecuaiones Lineales
Sistemas De Ecuaiones LinealesCEU Benito Juarez
 
ExposicióN Jueves 18 De Febrero Principios De AdministracióN
ExposicióN Jueves 18 De Febrero Principios De AdministracióNExposicióN Jueves 18 De Febrero Principios De AdministracióN
ExposicióN Jueves 18 De Febrero Principios De AdministracióNCEU Benito Juarez
 
Graficas Lineales, cuadradas y cubicas
Graficas Lineales, cuadradas y cubicasGraficas Lineales, cuadradas y cubicas
Graficas Lineales, cuadradas y cubicasCEU Benito Juarez
 
Guia De Examen de Microeconomia
Guia De Examen de MicroeconomiaGuia De Examen de Microeconomia
Guia De Examen de MicroeconomiaCEU Benito Juarez
 
Aspectos Generales E Importancia De La PlanificacióN
Aspectos Generales E Importancia De La PlanificacióNAspectos Generales E Importancia De La PlanificacióN
Aspectos Generales E Importancia De La PlanificacióNCEU Benito Juarez
 
Copias De Informatica 260110
Copias De Informatica 260110Copias De Informatica 260110
Copias De Informatica 260110CEU Benito Juarez
 
Calificaciones Finales Matematicas 1er Cuatrimestre
Calificaciones Finales Matematicas 1er CuatrimestreCalificaciones Finales Matematicas 1er Cuatrimestre
Calificaciones Finales Matematicas 1er CuatrimestreCEU Benito Juarez
 
Lectura 14 De Enero 2010 Principios Admon
Lectura 14 De Enero 2010 Principios AdmonLectura 14 De Enero 2010 Principios Admon
Lectura 14 De Enero 2010 Principios AdmonCEU Benito Juarez
 
Guia: Lenguaje, pensamiento e inteligencia
Guia: Lenguaje, pensamiento e inteligenciaGuia: Lenguaje, pensamiento e inteligencia
Guia: Lenguaje, pensamiento e inteligenciaCEU Benito Juarez
 
Sistemas De Ecuaiones Lineales
Sistemas De Ecuaiones LinealesSistemas De Ecuaiones Lineales
Sistemas De Ecuaiones LinealesCEU Benito Juarez
 

More from CEU Benito Juarez (20)

Formulas De Calculo
Formulas De CalculoFormulas De Calculo
Formulas De Calculo
 
Formulas De Calculo
Formulas De CalculoFormulas De Calculo
Formulas De Calculo
 
Sistemas De Ecuaiones Lineales
Sistemas De Ecuaiones LinealesSistemas De Ecuaiones Lineales
Sistemas De Ecuaiones Lineales
 
ExposicióN Jueves 18 De Febrero Principios De AdministracióN
ExposicióN Jueves 18 De Febrero Principios De AdministracióNExposicióN Jueves 18 De Febrero Principios De AdministracióN
ExposicióN Jueves 18 De Febrero Principios De AdministracióN
 
Graficas Lineales, cuadradas y cubicas
Graficas Lineales, cuadradas y cubicasGraficas Lineales, cuadradas y cubicas
Graficas Lineales, cuadradas y cubicas
 
Guia De Examen de Microeconomia
Guia De Examen de MicroeconomiaGuia De Examen de Microeconomia
Guia De Examen de Microeconomia
 
Aspectos Generales E Importancia De La PlanificacióN
Aspectos Generales E Importancia De La PlanificacióNAspectos Generales E Importancia De La PlanificacióN
Aspectos Generales E Importancia De La PlanificacióN
 
Copias De Informatica 260110
Copias De Informatica 260110Copias De Informatica 260110
Copias De Informatica 260110
 
Ejercicio De Microeconomia
Ejercicio De MicroeconomiaEjercicio De Microeconomia
Ejercicio De Microeconomia
 
Calificaciones Finales Matematicas 1er Cuatrimestre
Calificaciones Finales Matematicas 1er CuatrimestreCalificaciones Finales Matematicas 1er Cuatrimestre
Calificaciones Finales Matematicas 1er Cuatrimestre
 
Lectura 14 De Enero 2010 Principios Admon
Lectura 14 De Enero 2010 Principios AdmonLectura 14 De Enero 2010 Principios Admon
Lectura 14 De Enero 2010 Principios Admon
 
Resultados Rifa 2009
Resultados Rifa 2009Resultados Rifa 2009
Resultados Rifa 2009
 
Guia: Lenguaje, pensamiento e inteligencia
Guia: Lenguaje, pensamiento e inteligenciaGuia: Lenguaje, pensamiento e inteligencia
Guia: Lenguaje, pensamiento e inteligencia
 
Algebra De Matrices
Algebra De MatricesAlgebra De Matrices
Algebra De Matrices
 
Tarea Noviembre
Tarea NoviembreTarea Noviembre
Tarea Noviembre
 
MéTodos 1
MéTodos 1MéTodos 1
MéTodos 1
 
Sistemas De Ecuaiones Lineales
Sistemas De Ecuaiones LinealesSistemas De Ecuaiones Lineales
Sistemas De Ecuaiones Lineales
 
Cuentas Bg
Cuentas BgCuentas Bg
Cuentas Bg
 
Cuadrame Si Puedes
Cuadrame Si PuedesCuadrame Si Puedes
Cuadrame Si Puedes
 
Cuentas Del Balance General
Cuentas Del Balance GeneralCuentas Del Balance General
Cuentas Del Balance General
 

Recently uploaded

7 steps to achieve financial freedom.pdf
7 steps to achieve financial freedom.pdf7 steps to achieve financial freedom.pdf
7 steps to achieve financial freedom.pdfthemoneyacademy07
 
Turbhe Fantastic Escorts📞📞9833754194 Kopar Khairane Marathi Call Girls-Kopar ...
Turbhe Fantastic Escorts📞📞9833754194 Kopar Khairane Marathi Call Girls-Kopar ...Turbhe Fantastic Escorts📞📞9833754194 Kopar Khairane Marathi Call Girls-Kopar ...
Turbhe Fantastic Escorts📞📞9833754194 Kopar Khairane Marathi Call Girls-Kopar ...priyasharma62062
 
20240419-SMC-submission-Annual-Superannuation-Performance-Test-–-design-optio...
20240419-SMC-submission-Annual-Superannuation-Performance-Test-–-design-optio...20240419-SMC-submission-Annual-Superannuation-Performance-Test-–-design-optio...
20240419-SMC-submission-Annual-Superannuation-Performance-Test-–-design-optio...Henry Tapper
 
falcon-invoice-discounting-unlocking-prime-investment-opportunities
falcon-invoice-discounting-unlocking-prime-investment-opportunitiesfalcon-invoice-discounting-unlocking-prime-investment-opportunities
falcon-invoice-discounting-unlocking-prime-investment-opportunitiesFalcon Invoice Discounting
 
GIFT City Overview India's Gateway to Global Finance
GIFT City Overview  India's Gateway to Global FinanceGIFT City Overview  India's Gateway to Global Finance
GIFT City Overview India's Gateway to Global FinanceGaurav Kanudawala
 
Collecting banker, Capacity of collecting Banker, conditions under section 13...
Collecting banker, Capacity of collecting Banker, conditions under section 13...Collecting banker, Capacity of collecting Banker, conditions under section 13...
Collecting banker, Capacity of collecting Banker, conditions under section 13...RaniT11
 
logistics industry development power point ppt.pdf
logistics industry development power point ppt.pdflogistics industry development power point ppt.pdf
logistics industry development power point ppt.pdfSalimullah13
 
Call Girls Howrah ( 8250092165 ) Cheap rates call girls | Get low budget
Call Girls Howrah ( 8250092165 ) Cheap rates call girls | Get low budgetCall Girls Howrah ( 8250092165 ) Cheap rates call girls | Get low budget
Call Girls Howrah ( 8250092165 ) Cheap rates call girls | Get low budgetSareena Khatun
 
Female Russian Escorts Mumbai Call Girls-((ANdheri))9833754194-Jogeshawri Fre...
Female Russian Escorts Mumbai Call Girls-((ANdheri))9833754194-Jogeshawri Fre...Female Russian Escorts Mumbai Call Girls-((ANdheri))9833754194-Jogeshawri Fre...
Female Russian Escorts Mumbai Call Girls-((ANdheri))9833754194-Jogeshawri Fre...priyasharma62062
 
Toronto dominion bank investor presentation.pdf
Toronto dominion bank investor presentation.pdfToronto dominion bank investor presentation.pdf
Toronto dominion bank investor presentation.pdfJinJiang6
 
2999,Vashi Fantastic Ellete Call Girls📞📞9833754194 CBD Belapur Genuine Call G...
2999,Vashi Fantastic Ellete Call Girls📞📞9833754194 CBD Belapur Genuine Call G...2999,Vashi Fantastic Ellete Call Girls📞📞9833754194 CBD Belapur Genuine Call G...
2999,Vashi Fantastic Ellete Call Girls📞📞9833754194 CBD Belapur Genuine Call G...priyasharma62062
 
Solution Manual For Financial Statement Analysis, 13th Edition By Charles H. ...
Solution Manual For Financial Statement Analysis, 13th Edition By Charles H. ...Solution Manual For Financial Statement Analysis, 13th Edition By Charles H. ...
Solution Manual For Financial Statement Analysis, 13th Edition By Charles H. ...rightmanforbloodline
 
Vip Call Girls Rasulgada😉 Bhubaneswar 9777949614 Housewife Call Girls Servic...
Vip Call Girls Rasulgada😉  Bhubaneswar 9777949614 Housewife Call Girls Servic...Vip Call Girls Rasulgada😉  Bhubaneswar 9777949614 Housewife Call Girls Servic...
Vip Call Girls Rasulgada😉 Bhubaneswar 9777949614 Housewife Call Girls Servic...Call Girls Mumbai
 
Lion One Corporate Presentation May 2024
Lion One Corporate Presentation May 2024Lion One Corporate Presentation May 2024
Lion One Corporate Presentation May 2024Adnet Communications
 
Business Principles, Tools, and Techniques in Participating in Various Types...
Business Principles, Tools, and Techniques  in Participating in Various Types...Business Principles, Tools, and Techniques  in Participating in Various Types...
Business Principles, Tools, and Techniques in Participating in Various Types...jeffreytingson
 
cost-volume-profit analysis.ppt(managerial accounting).pptx
cost-volume-profit analysis.ppt(managerial accounting).pptxcost-volume-profit analysis.ppt(managerial accounting).pptx
cost-volume-profit analysis.ppt(managerial accounting).pptxazadalisthp2020i
 
Kurla Capable Call Girls ,07506202331, Sion Affordable Call Girls
Kurla Capable Call Girls ,07506202331, Sion Affordable Call GirlsKurla Capable Call Girls ,07506202331, Sion Affordable Call Girls
Kurla Capable Call Girls ,07506202331, Sion Affordable Call GirlsPriya Reddy
 
Call Girls in Benson Town / 8250092165 Genuine Call girls with real Photos an...
Call Girls in Benson Town / 8250092165 Genuine Call girls with real Photos an...Call Girls in Benson Town / 8250092165 Genuine Call girls with real Photos an...
Call Girls in Benson Town / 8250092165 Genuine Call girls with real Photos an...kajal
 
Famous No1 Amil Baba Love marriage Astrologer Specialist Expert In Pakistan a...
Famous No1 Amil Baba Love marriage Astrologer Specialist Expert In Pakistan a...Famous No1 Amil Baba Love marriage Astrologer Specialist Expert In Pakistan a...
Famous No1 Amil Baba Love marriage Astrologer Specialist Expert In Pakistan a...janibaber266
 
Bhubaneswar🌹Ravi Tailkes ❤CALL GIRLS 9777949614 💟 CALL GIRLS IN bhubaneswar ...
Bhubaneswar🌹Ravi Tailkes  ❤CALL GIRLS 9777949614 💟 CALL GIRLS IN bhubaneswar ...Bhubaneswar🌹Ravi Tailkes  ❤CALL GIRLS 9777949614 💟 CALL GIRLS IN bhubaneswar ...
Bhubaneswar🌹Ravi Tailkes ❤CALL GIRLS 9777949614 💟 CALL GIRLS IN bhubaneswar ...Call Girls Mumbai
 

Recently uploaded (20)

7 steps to achieve financial freedom.pdf
7 steps to achieve financial freedom.pdf7 steps to achieve financial freedom.pdf
7 steps to achieve financial freedom.pdf
 
Turbhe Fantastic Escorts📞📞9833754194 Kopar Khairane Marathi Call Girls-Kopar ...
Turbhe Fantastic Escorts📞📞9833754194 Kopar Khairane Marathi Call Girls-Kopar ...Turbhe Fantastic Escorts📞📞9833754194 Kopar Khairane Marathi Call Girls-Kopar ...
Turbhe Fantastic Escorts📞📞9833754194 Kopar Khairane Marathi Call Girls-Kopar ...
 
20240419-SMC-submission-Annual-Superannuation-Performance-Test-–-design-optio...
20240419-SMC-submission-Annual-Superannuation-Performance-Test-–-design-optio...20240419-SMC-submission-Annual-Superannuation-Performance-Test-–-design-optio...
20240419-SMC-submission-Annual-Superannuation-Performance-Test-–-design-optio...
 
falcon-invoice-discounting-unlocking-prime-investment-opportunities
falcon-invoice-discounting-unlocking-prime-investment-opportunitiesfalcon-invoice-discounting-unlocking-prime-investment-opportunities
falcon-invoice-discounting-unlocking-prime-investment-opportunities
 
GIFT City Overview India's Gateway to Global Finance
GIFT City Overview  India's Gateway to Global FinanceGIFT City Overview  India's Gateway to Global Finance
GIFT City Overview India's Gateway to Global Finance
 
Collecting banker, Capacity of collecting Banker, conditions under section 13...
Collecting banker, Capacity of collecting Banker, conditions under section 13...Collecting banker, Capacity of collecting Banker, conditions under section 13...
Collecting banker, Capacity of collecting Banker, conditions under section 13...
 
logistics industry development power point ppt.pdf
logistics industry development power point ppt.pdflogistics industry development power point ppt.pdf
logistics industry development power point ppt.pdf
 
Call Girls Howrah ( 8250092165 ) Cheap rates call girls | Get low budget
Call Girls Howrah ( 8250092165 ) Cheap rates call girls | Get low budgetCall Girls Howrah ( 8250092165 ) Cheap rates call girls | Get low budget
Call Girls Howrah ( 8250092165 ) Cheap rates call girls | Get low budget
 
Female Russian Escorts Mumbai Call Girls-((ANdheri))9833754194-Jogeshawri Fre...
Female Russian Escorts Mumbai Call Girls-((ANdheri))9833754194-Jogeshawri Fre...Female Russian Escorts Mumbai Call Girls-((ANdheri))9833754194-Jogeshawri Fre...
Female Russian Escorts Mumbai Call Girls-((ANdheri))9833754194-Jogeshawri Fre...
 
Toronto dominion bank investor presentation.pdf
Toronto dominion bank investor presentation.pdfToronto dominion bank investor presentation.pdf
Toronto dominion bank investor presentation.pdf
 
2999,Vashi Fantastic Ellete Call Girls📞📞9833754194 CBD Belapur Genuine Call G...
2999,Vashi Fantastic Ellete Call Girls📞📞9833754194 CBD Belapur Genuine Call G...2999,Vashi Fantastic Ellete Call Girls📞📞9833754194 CBD Belapur Genuine Call G...
2999,Vashi Fantastic Ellete Call Girls📞📞9833754194 CBD Belapur Genuine Call G...
 
Solution Manual For Financial Statement Analysis, 13th Edition By Charles H. ...
Solution Manual For Financial Statement Analysis, 13th Edition By Charles H. ...Solution Manual For Financial Statement Analysis, 13th Edition By Charles H. ...
Solution Manual For Financial Statement Analysis, 13th Edition By Charles H. ...
 
Vip Call Girls Rasulgada😉 Bhubaneswar 9777949614 Housewife Call Girls Servic...
Vip Call Girls Rasulgada😉  Bhubaneswar 9777949614 Housewife Call Girls Servic...Vip Call Girls Rasulgada😉  Bhubaneswar 9777949614 Housewife Call Girls Servic...
Vip Call Girls Rasulgada😉 Bhubaneswar 9777949614 Housewife Call Girls Servic...
 
Lion One Corporate Presentation May 2024
Lion One Corporate Presentation May 2024Lion One Corporate Presentation May 2024
Lion One Corporate Presentation May 2024
 
Business Principles, Tools, and Techniques in Participating in Various Types...
Business Principles, Tools, and Techniques  in Participating in Various Types...Business Principles, Tools, and Techniques  in Participating in Various Types...
Business Principles, Tools, and Techniques in Participating in Various Types...
 
cost-volume-profit analysis.ppt(managerial accounting).pptx
cost-volume-profit analysis.ppt(managerial accounting).pptxcost-volume-profit analysis.ppt(managerial accounting).pptx
cost-volume-profit analysis.ppt(managerial accounting).pptx
 
Kurla Capable Call Girls ,07506202331, Sion Affordable Call Girls
Kurla Capable Call Girls ,07506202331, Sion Affordable Call GirlsKurla Capable Call Girls ,07506202331, Sion Affordable Call Girls
Kurla Capable Call Girls ,07506202331, Sion Affordable Call Girls
 
Call Girls in Benson Town / 8250092165 Genuine Call girls with real Photos an...
Call Girls in Benson Town / 8250092165 Genuine Call girls with real Photos an...Call Girls in Benson Town / 8250092165 Genuine Call girls with real Photos an...
Call Girls in Benson Town / 8250092165 Genuine Call girls with real Photos an...
 
Famous No1 Amil Baba Love marriage Astrologer Specialist Expert In Pakistan a...
Famous No1 Amil Baba Love marriage Astrologer Specialist Expert In Pakistan a...Famous No1 Amil Baba Love marriage Astrologer Specialist Expert In Pakistan a...
Famous No1 Amil Baba Love marriage Astrologer Specialist Expert In Pakistan a...
 
Bhubaneswar🌹Ravi Tailkes ❤CALL GIRLS 9777949614 💟 CALL GIRLS IN bhubaneswar ...
Bhubaneswar🌹Ravi Tailkes  ❤CALL GIRLS 9777949614 💟 CALL GIRLS IN bhubaneswar ...Bhubaneswar🌹Ravi Tailkes  ❤CALL GIRLS 9777949614 💟 CALL GIRLS IN bhubaneswar ...
Bhubaneswar🌹Ravi Tailkes ❤CALL GIRLS 9777949614 💟 CALL GIRLS IN bhubaneswar ...
 

Derivadas

  • 1. ejerciciosyexamenes.com DERIVADAS 1. y = 5x6-3x5+3x3-2 2. y = x-4+2x-3+x-4 3 3. y = 3 x10 + 2 x + 4. y = 3 . x 3 - π . x + 3 x 2 5. y = 4 senx - 3 cosx 6. y = 2 x + + x5 x π 7. y = 4x3 + 2x3 - x3 + 4 8. y = . cos x - 3 x 2 9. y = cos(3x) 10. y = cos2(x3) 11. y = sen (3x2-2x) 12. y = cos(x2) 13. y = sen3(2x2) 14. y = cos4(3x4) 15. y = 3 sen2(2x-3) 16. y = cos5(3x2) 17. y = cos (senx) 18. y = cos2(sen(3x)) 19. y = 3 cos2 x 20. y = 3 cos 2 ( x2 ) 21. y = x2 - 3x 22. y = 3 ( x 2 - 3x )2 23. y = 2 ( x - 3x ) 3 24. y = 3 sen 2 x 25. y = 5 sen(3x) 26. y = 3x - senx ( 27. y = 3 x 2 - 1 - x2 ) 3 28. y = sen ( 3 x2 - 5x ) 29. y = sen3 x + (x - 1 )3 30. y = cos3 x2 - 3 x ( ) x 5 31. y = 32. y = 5 x 4 3 x - 3x x -3 33. y = 34. y = 4 x ( x - 3x )2 4 (x - 1 )3 35. y = 36. y = 3 3x 2 x 3x 37. y = 2 38. y = x -1 x 3 x 39. y = 40. y = x 3x 41. y = 3 3 x 2 - senx 42. y = l n (3x - 1) 43. y = l n ( x - 3x) 2 44. y = l n x - 2 45. y = log 2 (3 x 2 ) 46. y = e x 2 47. y = 2 x 48. y = e x - 2x 2 49. y = 3sen x 50. y = tg ( x3 ) 51. y = 3 e x - 3x 52. y = ecosx 2 53. y = 3 tg 2 x 54. y = ( x2 - 1) .(x - 1) 55. y = x2 . l n x 56. y = e x . cos x 2 57. y = x4 . e 3 x 58. y = ex 4 -3 2 x . sen x
  • 2. ejerciciosyexamenes.com 1 59. y = l n x2 . esen x 60. y = ln x 3  2-3  61. y =  x2   62. y = l n x . e x - senx 2   x +1  2  ln 2  63. y = ( cos 3x - sen x 2 3 ).e x3 64. y =  3 x     x -2  x lnx +l n x 65. y = 66. y = e 2 3x x - senx  sen x  sen x 67. y = l n   68. y =  e  x x- 1 70. y = ( sen ( e3x ) ) 4 2 3 - 2 x + 3x - 2 69. y = x 2 . cos x 2 x -1 71. y = arctg ( x 2 ) 72. y = arcsen x 3 73. y = l n ( sec x) 74. y = arctg (l n x) 75. y = arcsen x . ecosx 76. y = arctg ( e 3x )  tgx   x +1  77. y = l n  3 x2  78. y = arcsen   e   e  x 79. y = l n ( arctg(5x) ) 80. y = arctg x 3 81. y = 5 arctg2 (senx) 82. y = 3arctg( x ) 2 arcsen (3x - 2) sen x - tg x 83. y = 84. y = x2 4x - 3 2 85. y = x senx 86. y = (sen x )x 3 87. y = ( cos x )x - x 88. y = 4arctg ( l n x) x2  x+ 2  3  3x  89. y = l n   90. y =  e  senx    x  2    senx-e x   tg x  91. y = 10  3x- cosx    92. y = cos      sen (l n x)    x cosx  tgx  93. y = 94. y = cos2 (4 e x ) . l n  x 2  (l n x )3  3  2 x l n ( cos x) sen ( e ) 95. y = 3 96. y = e arctg (cosx) 5 cos x 98. y = ( tg ( e x ) + x 2 ) cos( e x ) . x x 97. y = tgx e arctg e x . cos x l n cos x 99. y = 100. y = l n ( x 2 - x) sen ( ecosx )
  • 3. ejerciciosyexamenes.com SOLUCIONES Todas las soluciones se dan sin simplificar 1. y′ = 30 x 5 - 15 x4 + 9 x 2 2. y′ = - 4 x-5 - 6 x -4 + 1 1 3 3. y′ = 30 x9 + - 2 4. y′ = 3 3 . x2 - π x x 1 2 5. y′ = 4 cos x + 3 sen x 6. y′ = - 2 + 5 x4 x x π 3 7. y′ = 15 x 2 8. y′ = - sen x - 2 2 x 9. y′ = - 3 sen(3x) 10. y′ = - 2 cos( x ) . sen( x3 ) . 3 x 2 3 11. y′ = cos (3 x2 - 2x) . (6x - 2) 12. y′ = - sen( x 2 ) . 2x 13. y′ = 3 sen 2 (2 x 2 ) . cos(2 x 2 ) . 4x 14. y′ = 4 cos 3 (3 x4 ) . ( - sen(3 x4 ) ) . 12 x 3 15. y′ = 6 sen(2x - 3) . cos(2x - 3) . 2 16. y′ = 5 cos 4 (3 x 2 ) . (-sen(3 x 2 )) . 6x 17. y′ = - sen(senx) . cosx 18. y′ = 2 cos(sen3x) . (-sen(sen3 x)) . cos 3x . 3 - 2 cosx . senx - 2 cos( x 2 ) . sen( x 2 ) . 2x 19. y′ = 20. y′ = 3 3 cos 4 x 3 3 cos 4 ( x2 ) 2x - 3 2 ( x 2 - 3x) (2x - 3) 21. y′ = 22. y′ = 2 x2 - 3x 3 3 ( x 2 - 3x )4 ( 23. y′ = 3 2 x - 3x .  2 )  1  x  - 3  24. y′ =  2 senx cosx 3 3 sen 4 x 3 cos 3x 3 - cosx 25. y′ = 26. y′ = 5 5 sen4 (3x) 2 3x - senx 27. y′ = 3 ( 3x 2 -  .  6x - 1 - x2  ) 2- 2x   28. y′ = cos  ( ) 3 x2 - 5x . 6x - 5 3 x 2 - 5x  2 1 - x2  2 3 2 x cosx + 3 (x - 1 )2 29. y′ = sen 30. 2 sen 3 x + (x - 1 )3 ( ) ( y′ = - 3 cos 2 x 2 - 3 x . sen x 2 - 3 x .  2x -) 3    2 x  1 5 31. y′ = 32. y = - 2 5 x 3 4 -3 3 33. y′ = x 34. y′ = 2x + 2 4 x 2 4 2 ( - 3x ) . (4 x - 3)3 3 (x - 1 )2 . 3x - 3 (x - 1 )3 35. y′ = x 36. y′ = 3 (3 x )2 3 2 2 . x - 3x 2x ( x - 1) - x . 2x 2 3x 37. y′ = 38. y′ = ( x2 - 1 )2 x2
  • 4. ejerciciosyexamenes.com 3 3x - x 1 -3 2 3x 39. y′ = 2 . 40. y′ = 3 x 3x 2 x 6 x - cosx 3 41. y′ = 42. y′ = 2 3 3 2 (3 x - senx ) 3x - 1 1 2x - 3 43. y′ = 44. y′ = 2 x - 2 x 2 - 3x x-2 6x 45. y′ = 2 46. y′ = e x . 2x 2 3 x . l n2 47. y′ = 2x . l n2 48. y′ = e x - 2x . (2x - 2) 2 3 x2 49. y′ = 3sen x . cos x . l n3 50. y′ = cos2 ( x3 ) - cosx senx 51. y′ = 3 e x -3x . (2x - 3) 52. y′ = e cosx 2 2 e 6 tgx 53. y′ = 54. y = 2x (x - 1) + ( x 2 - 1) cos 2 x 2 55. y′ = 2x . l n x + x 56. y′ = e x 2x cos x - e x senx 2 2 x 57. y′ = 4 x . e + x4 e3x . 3 58. y′ = e x - 3 x . (4 x 3 - 6x) sen x + e x -3 x cos x 3 3x 4 2 4 2 1 - 2 x 2x x 59. y′ = . esen x + l nx 2 e sen x cos x 60. y′ = x 2 (l n x )2 2  2 - 3  2x ( x 2 + 1) - ( x2 - 3) 2x 61. y′ = 3  x2   .   x +1  ( x2 + 1 )2 1 62. y′ = . ex -senx + l nx . e x - senx (2x - cosx) 2 2 x 63. y′ = ( 2 cos 3x (-sen3x) 3 - 3 sen 2 x cosx ) . e x + ( cos2 3x - sen 3 x) e x 3 x 2 3 3 2x 3 ( - 2) - l nx2 3 x2  l n x  x2 x 2 64. y′ = 2  3   .   x -2  ( x3 - 2 )2 1 x  x 1  2 x 3 - ln x 3 l n3  e +  ( x - senx) - ( ex + l nx) (2x - cosx) 66. y′ =  x  65. y′ = x x 2 (3 ) ( x 2 - senx )2 x cos x e x - e x sen x 1 cosx (x - 1) - senx 67. y′ = e 2 68. y′ = . senx ( ex ) sen x (x - 1 )2 2 x -1
  • 5. ejerciciosyexamenes.com (12 x 3 - 4x + 3) (2x - 1) - (3 x4 - 2 x2 + 3x - 2) . 2 69. y′ = (2 x - 1 )2 70. y′ = 2 ( sen ( e 3x ) ) . cos ( e 3x ) . e3x 3 cosx - (sen( e3x ) ) . senx 2 2x 3 x2 71. y′ = 72. y′ = 1 + x4 1 - x6 senx 1 2 73. y′ = cos x 74. y′ = x sec x 1 + (l n x )2 cos x 3x .3 75. y′ = e 2 - arcsen x ecos x sen x 76. y′ = e 3x 2 1- x 1 + (e ) 2 x x 3 e x - tgx 3 x 2 6x e - (x + 1) e 2 e e3 x . cos2 x ( e x )2 77. y′ = 78. y′ = tgx ( ) e 3x 2 2 1-   x+ 1   2  e  x 3 x2 1 5 2 x3 79. y′ = 80. y′ = arctg(5x) 1 + (5x )2 1 + x3 cos x 2x 81. y′ = 10 arctg (senx) 82. y′ = 3arctg ( x ) 2 2 ln3 1 + sen x 1 + x4 3 x2 - arcsen (3x - 2) 2x 1 - (3x - 2 )2 83. y′ = x4  1  4  cosx -  4x - 3 - (sen x - tg x) y′ =  cos x  2 2 4x - 3 84. 4x - 3 y′ =  cosx . l n x + senx  85.   . xsenx  x   2 cosx  y′ =  2x l n (senx) + x  (sen x ) x 2 86.    senx   ( 3 - x) senx  87. y =  (3 x 2 - 1) l n cos x - x  . (cosx )x - x 3    cosx  1 88. y′ = 4 arctg( l n x) . x . ln4 1 + (l n x )2  x + 2  x 2 - 2x (x + 2) 2 1 89. y′ = 3 .3   .  x+2   x  2 x4    x  2
  • 6. ejerciciosyexamenes.com 2   e3x 3x 2 senx 3 e senx - e cosx 3x   e3x  x 90. y′ =  2x l n x   + x  senx  .   senx     e3x sen 2 x     senx-e x  x x (cosx - e ) (3x - cosx) - (senx - e ) (3 + senx) 91. y′ = 10 3x- cosx  . l n 10     (3x - cosx )2 1 1 1 . . sen(l n x) - tg x . cos(l n x) .  tg x  cos x 2 x 2 x 92. y′ = - sen   .  sen (l n x)  2   sen (l n x)  cosx  cosx 2 1  - senx l n nx +  x (l n x ) - x cosx 3 (l n x ) 3 93. y′ =  x  x 6 (l n x ) 94. 2 3 x - tgx . x2 . 2x . l n 3 3  tgx  2 x 2 y′ = 2 cos (4 e x ) . (-sen(4 e x ) . 4 e x . l n  x2  + cos 2 (4 e x ) . 3 cos x  3  tgx 2 3x 2 ( ) l n (cosx) - senx e . 5 cosx - el n (cosx) . 5cosx (-senx) l n 5 1 cosx 95. y = . 2 e l n (cosx) ( 5 cosx )2 5cosx 96. 1 2 sen( e x ) . cos( e x ) . e x . arctg(cosx ) - sen2 ( e x ) . . (-senx) 1 1 + cos 2 x y′ = . sen2 ( e x ) arctg2 (cosx) 3 3 arctg ( cos x) - sen( e x ) ex x + cos( ex ) tgx 1 1 . e - cos( e x ) . x . . etgx . cos( e x ) . x 2 e tgx cos 2 x 97. y′ = tgx e  e  x  + 2x  98. y′ =  ln ( tge + x 2 ) + x cos e 2  . ( tg ( x ) + 2 )x 2 x x ( )  x  e x tge + x     99.  e x  2x - 1   1 + ( e x )2 cosx - arctg e senx  l n ( x - x) - (arctg e cosx) x 2 - x x 2 x  .  1  y′ = x arctg e . cos x l n ( x 2 - x) 2 2 l n ( x2 - x)
  • 7. ejerciciosyexamenes.com 1 - senx sen( ecosx ) - l n cos x cos( ecosx ) e cosx (-senx) 100. y′ = cosx 2 cosx sen 2 ( ecosx )