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A-LevelMathematicsDifferentiation9709/22 · Feb/Mar 2018 · Q24 Marks

A curve has equation y = 4x sin ½ x. Find the equation of the tangent to the curve at the point for which x = π.

  1. A curve has equation y = 4x sin ½ x. Find the equation of the tangent to the curve at the point for which x = π.[4]

Mark scheme

Marking points from the official mark scheme (Feb/Mar 2018). The mark or mark type is shown in brackets.

  1. [*M1] Differentiate using product rule Obtaining form k₁ sin ½ x + k₂x cos ½ x
  2. [A1] Obtain correct 4 sin ½ x + 2x cos ½ x or unsimplified equivalent
  3. [DM1] Attempt equation of tangent with numerical value for gradient
  4. [A1] Obtain y = 4x

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About this question

Topic
Differentiation, A-Level Mathematics (syllabus 9709). Structured question, 4 marks.
Source
A-Level Mathematics, Feb/Mar 2018 Paper 2 Variant 2, question 2.

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