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1.10 G: Differentiation

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Question 73

A curve has the equation 3cos⁡y−3sin⁡x=−4.53 \cos y - 3 \sin x = -4.53cosy−3sinx=−4.5 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

1.10 G: Differentiation Questions

  1. A Level
  2. /Maths
  3. /1.10 G: Differentiation

375 exam-style questions on AQA A Level Maths 1.10 G: Differentiation, covering 1.10.1 The derivative and second derivative, 1.10.2 Differentiating standard functions, 1.10.3 Applications of differentiation, 1.10.4 Product, quotient and chain rules (A-level only), 1.10.5 Implicit and parametric differentiation (A-level only), and 1.10.6 Constructing differential equations (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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