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Edexcel A-level Mathematics · 9MA0

Applications of differentiation

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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.

For a>0a>0, the curve y=x3−12ax+16y=x^3-12ax+16 touches the x-axis at a point with positive x-coordinate. Find a and the point of contact. Explain why a is unique.

(7)

(Total for Question 1 is 7 marks)

Question reference: edexcel-a-star-algebra-01Report a question →
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