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3.6.5 Differentiation (A-level only)

The power rule is [...]\text{[...]}[...].

A

dAdt=4π m2 s−1\frac{dA}{dt}=4\pi\text{ m}^2\text{ s}^{-1}dtdA​=4π m2 s−1.

B

At corresponding points, inverse derivatives satisfy dydx=1dxdy\boxed{\frac{dy}{dx}=\frac{1}{\frac{dx}{dy}}}dxdy​=dydx​1​​, provided dxdy≠0\frac{dx}{dy}\neq0dydx​=0.

C

The power rule is ddx(xn)=nxn−1\boxed{\frac{d}{dx}(x^n)=nx^{n-1}}dxd​(xn)=nxn−1​.

D

If area AAA depends on radius rrr, which depends on time ttt, then dAdt=dAdrdrdt\boxed{\frac{dA}{dt}=\frac{dA}{dr}\frac{dr}{dt}}dtdA​=drdA​dtdr​​.

3.6.5 Differentiation (A-level only) Flashcards

  1. A Level
  2. /Maths
  3. /3.6.5 Differentiation (A-level only)

Flashcards for WJEC A Level Maths 3.6.5 Differentiation (A-level only), covering the key formulae, methods and definitions you need to recall for AS Unit 1, AS Unit 2, A2 Unit 3 and A2 Unit 4. 23 cards, matched to the WJEC A Level Maths (1300QS) specification. Recall questions account for roughly 50% of marks at A Level Maths, so these target the marks you can secure before the paper starts.