Additional Mathematics Revision

Formulae in other document but otherwise should be all covered...

From additional mathematics for OCR book

[object Object],[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Ex 1A, B & C

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Ex 1D

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Ex 1E

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Ex 1F

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Ex 2A

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Ex 2B

[object Object],[object Object],[object Object],[object Object],[object Object],Ex 2C & D

[object Object],[object Object],[object Object],Ex 2E

[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],-1

[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],All Silver Tea Cups Sin Cos Tan Sin Cos Tan Sin Cos Tan Sin Cos Tan + + + - + - + - - - - + 1 1 -1 -1 It is like have a circle of one unit

[object Object],[object Object],[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object],Curved line

[object Object],[object Object],[object Object],[object Object],[object Object],Yb - Ya Xa Ya = (Xa)² Xb Yb = (Xb)² Mab = Xb - Xa 2 4 3.5 12.25 5.5 2 4 3 9 5 2 4 2.5 6.25 4.5 2 4 2.25 5.0625 4.25 2 4 2.1 4.41 4.1 2 4 2.05 4.2025 4.05 2 4 2.001 4.004001 4.001

y = x ³ y = x ² y = x ⁴ X Gradient 1 2 2 4 3 6 4 8 5 10 x 2x X Gradient 1 4 2 32 3 108 4 256 5 500 x 4x³ X Gradient 1 3 2 12 3 27 4 48 5 75 x 3x²

[object Object],[object Object],[object Object],[object Object],dy dx dy dx d dx

[object Object],[object Object],[object Object],[object Object],y x y = c 0 d dx

[object Object],[object Object],[object Object],[object Object],[object Object],d dx d dx d dx d dx

[object Object],[object Object],[object Object],[object Object],d dx

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],d dx

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],y x A 0 B C + + + + + + + + + + - - - - - - - - 0 0 d dx d dx d dx

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

dy dx dy dx dy dx d²y dx² d²y dx² d²y dx² d³y dx³ = 0 = 0 = 0 = 0 < 0 > 0 ≠ 0 At point P Remember to physically do and say each step in a question including saying if a certain point is a max., min. or point of inflection. Maximum point Minimum point and (doesn’t change sign on either said of P) Point of inflection

Additional Mathematics Revision

Additional Mathematics Revision

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Additional Mathematics Revision