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3.6 Differentiation (A-level only)

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Question 34

Use the derivatives of sin⁡x \sin x\,sinx and cos⁡x\cos xcosx, where x x\,x is measured in radians, to show that

a.

ddx(tan⁡x)=sec⁡2x\dfrac{d}{dx}(\tan x) = \sec^2 xdxd​(tanx)=sec2x

[3]
b.

ddx(sec⁡x)=sec⁡xtan⁡x\dfrac{d}{dx}(\sec x) = \sec x\tan xdxd​(secx)=secxtanx

[3]
Markscheme

3.6 Differentiation (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.6 Differentiation (A-level only)

332 exam-style questions on WJEC A Level Maths 3.6 Differentiation (A-level only), covering 3.6.1 Differentiation (A-level only), 3.6.2 Differentiation (A-level only), 3.6.3 Differentiation (A-level only), 3.6.4 Differentiation (A-level only), 3.6.5 Differentiation (A-level only), 3.6.6 Differentiation (A-level only), 3.6.7 Differentiation (A-level only), and 3.6 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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