just for teaching

1. MATEMATIKA
Oleh:
Dr. Parulian Silalahi, M.Pd
http://polmand4.esy.es/

4. Rumus Dasar:
y = sinx  y’ = cos x
y = cos x  y’ = - sin x
y = tg x  y’ = sec2
x
y = ctg x  y’ = -cosec2
x
y = sec x  y’ = sec x. tg x
y = cosec x y’ = -cosec x. ctg x

5. Rumus Dasar:
y = sin ax  y’ = a.cos ax
y = cos ax  y’ = -a.sin ax
y = tg ax  y’ = a.sec2
ax
y = ctg ax  y’ = -a.cosec2
ax
y = sec ax  y’ = a.sec ax. tg ax
y = cosec ax  y’ = -a.cosec ax. ctg ax

6. Contoh 3:
Tentukanlah turunan dari fungsi trigonometri
berikut:
1.Sin 5x
2.Tg 2x
Jawab:
1.Sin 5x = 5 cos 5x
2.Tg 2x = 2sec2
2x

7. dx
dv
dv
du
du
dy
dx
dy
dx
du
du
dy
dx
dy
..
.
=
=

11. Contoh4:
Tentukanlah turunan kedua dari fungsi
berikut:
1.y = 5x3
– 7x2
+ 1
2.y = 3/x2
+ 2x4
3.y= sin2x
Jawab:
1.y = 5x3
– 7x2
+ 1
dy/dx = 15x2
- 14x
dy2
/dx2
= 30x - 14

12. 2. y = 3/x2
+ 2x4
dy/dx = -6x-3
+ 8x3
dy2
/dx2
= 18x-4
+ 24x2
3. y = sin 2x
dy/dx = 2 cos 2x
dy2
/dx2
= -4 sin 2x

13. TERIMA KASIH
Selamat Belajar