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OCR A-level Mathematics A · H240

Differentiating standard functions

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OCR format & instructions

Calculator permitted. Give clear working in the answer booklet and label each part. Formulae are provided in the official question paper.

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

  • 01 · Pure · 100 marks · 2 hours
  • 02 · Pure & statistics · 100 marks · 2 hours
  • 03 · Pure & mechanics · 100 marks · 2 hours
Official specification ↗ · Official past papers ↗
QUESTION PAPER
Mathematics · A levelPure mathematics · H240/01
Torus Maths original · OCR 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}.

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

Answer booklet

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