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Edexcel A-level Mathematics · 9MA0

Differentiating standard functions

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Edexcel format & instructions

Calculator permitted. Show sufficient working in the spaces provided. Give inexact answers to 3 significant figures unless specified otherwise. The official exam provides a formulae and statistical tables booklet.

Original topic practice. This set is not a full official paper. Written work is self-reviewed against our worked solutions.

  • 01 · Pure 1 · 100 marks · 2 hours
  • 02 · Pure 2 · 100 marks · 2 hours
  • 03 · Statistics & mechanics · 100 marks · 2 hours
Official specification ↗ · Official past papers ↗
QUESTION PAPER
Mathematics · A levelPure Mathematics practice · 9MA0
Torus Maths original · Edexcel style
1.

The curve y=ex(2cos⁡x+sin⁡x)y=\mathrm e^x(2\cos x+\sin x) has a stationary point at x=θx=\theta, where 0<θ<π/20<\theta<\pi/2. Find the exact value of y(θ)2e−2θy(\theta)^2\mathrm e^{-2\theta}.

(4)

(Total for Question 1 is 4 marks)

Question reference: edexcel-a-level-pure-ranked-07-01Report a question →
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