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A-LevelMathematicsDifferentiation9709/22 · Feb/Mar 2021 · Q35 Marks

The parametric equations of a curve are x = e2t cos 4t, y = 3 sin 2t. Find the gradient of the curve at the point for which t = 0.

Mark scheme

Marking points from the official mark scheme (Feb/Mar 2021). The mark or mark type is shown in brackets.

  1. [M1] Attempt use of product rule to find dx/dt
  2. [A1] Obtain 2e²ᵗ cos 4t – 4e²ᵗ sin 4t
  3. [B1] Obtain dy/dt = 6 cos 2t
  4. [M1] Divide to find dy/dx with t = 0 substituted
  5. [A1] Obtain 3

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About this question

Topic
Differentiation, A-Level Mathematics (syllabus 9709). Structured question, 5 marks.
Source
A-Level Mathematics, Feb/Mar 2021 Paper 2 Variant 2, question 3.

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