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1.10 G: Differentiation

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Question 197

Given that

x=8cos⁡23y0<y<π6 x = 8 \cos^2 3y \qquad 0 < y < \frac{\pi}{6} x=8cos23y0<y<6π​

show that

dydx=−1ABx−x2 \frac{dy}{dx} = -\frac{1}{A\sqrt{Bx - x^2}} dxdy​=−ABx−x2​1​

where AAA and BBB are integers to be found.

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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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