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The basic exponential and logarithmic derivatives are [...]\text{[...]}[...] and ddx(ln⁡x)=1x\frac{d}{dx}(\ln x)=\frac{1}{x}dxd​(lnx)=x1​.

A

The chain-rule factors cancel: 1kx×k=1x\frac{1}{kx}\times k=\frac{1}{x}kx1​×k=x1​.

B

dydx=6cos⁡(2x)+20sin⁡(5x)\frac{dy}{dx}=6\cos(2x)+20\sin(5x)dxdy​=6cos(2x)+20sin(5x)

C

The basic exponential and logarithmic derivatives are ddx(ex)=ex\boxed{\frac{d}{dx}(e^x)=e^x}dxd​(ex)=ex​ and ddx(ln⁡x)=1x\frac{d}{dx}(\ln x)=\frac{1}{x}dxd​(lnx)=x1​.

D

The inner derivative is ddx(kx)=k\frac{d}{dx}(kx)=kdxd​(kx)=k.

Card 1 of 21

3.5.1 Differentiation (A-level only) Flashcards

  1. A Level
  2. /Maths
  3. /3.5.1 Differentiation (A-level only)

21 flashcards on CCEA A Level Maths 3.5.1 Differentiation (A-level only): the key formulae, methods and definitions you need to recall for AS 1, AS 2, A2 1 and A2 2.

Flashcards