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3.5 Differentiation (A-level only)

3.5 Differentiation (A-level only)

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Question 11

A curve has the equation 2sin⁡x−2cos⁡y=12 \sin x - 2 \cos y = 12sinx−2cosy=1 where 0≤x≤π 0 \leq x \leq \pi\,0≤x≤π and 0≤y≤π0 \leq y \leq \pi0≤y≤π.

a.

Find an expression for dydx\displaystyle \frac{dy}{dx}dxdy​

[3]
b.

Find the coordinates of the point where dydx=0\displaystyle \frac{dy}{dx} = 0dxdy​=0

[4]
Markscheme

3.5 Differentiation (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.5 Differentiation (A-level only)

263 exam-style questions on CCEA A Level Maths 3.5 Differentiation (A-level only), covering 3.5.1 Differentiation (A-level only), 3.5.2 Differentiation (A-level only), 3.5.3 Differentiation (A-level only), 3.5.4 Differentiation (A-level only), 3.5.5 Differentiation (A-level only), and 3.5 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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