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Differentiation

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Question 320

The curve C C\,C has the equation x=2tan⁡2yx = 2 \tan 2yx=2tan2y −π4<y<π4\displaystyle -\frac{\pi}{4} < y < \frac{\pi}{4}−4π​<y<4π​

Show that, for all points (x,y)(x, y)(x,y) lying on CCC,

dydx=1x2+4 \frac{dy}{dx} = \frac{1}{x^2 + 4} dxdy​=x2+41​
[5]
Markscheme

Differentiation Questions

  1. A Level
  2. /Maths
  3. /Differentiation

717 exam-style questions on Edexcel A Level Maths Differentiation, covering 9.1 Differentiating sin x and cos x, 9.2 Differentiating exponentials and logarithms, 9.3 The Chain Rule, 9.4 The Product Rule, 9.5 The Quotient Rule, 9.6 Differentiating Trigonometric Functions, 9.7 Parametric Differentiation, 9.8 Implicit Differentiation, 9.9 Using Second Derivatives, and 9.10 Rates of Change. Each one has a worked solution and a mark scheme showing where the marks go.

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