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3.6.2 Differentiation (A-level only)

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What does f′(x)f'(x)f′(x) tell you about a curve?

A

The second derivative may not change sign across aaa.

B

For y=f(x)y=f(x)y=f(x), the gradient is f′(x)=dydxf'(x)=\frac{dy}{dx}f′(x)=dxdy​, while the rate of change of gradient is f′′(x)=d2ydx2\boxed{f''(x)=\frac{d^2y}{dx^2}}f′′(x)=dx2d2y​​.

C

Concavity changes and f′(a)=0f'(a)=0f′(a)=0.

D

Its gradient at each value of xxx.

Card 1 of 20

3.6.2 Differentiation (A-level only) Flashcards

  1. A Level
  2. /Maths
  3. /3.6.2 Differentiation (A-level only)

20 flashcards on WJEC A Level Maths 3.6.2 Differentiation (A-level only): the key formulae, methods and definitions you need to recall for AS Unit 1, AS Unit 2, A2 Unit 3 and A2 Unit 4.

Flashcards