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A-LevelMathematicsDifferentiation9709/22 · May/June 2020 · Q35 Marks

The equation of a curve is cos 3x + 5 sin y = 3. Find the gradient of the curve at the point (1/3 π, 1/6 π).

  1. (a)The equation of a curve is cos 3x + 5 sin y = 3. Find the gradient of the curve at the point (1/3 π, 1/6 π).[5]

Mark scheme

Marking points from the official mark scheme (May/June 2020). The mark or mark type is shown in brackets.

  1. [B1] Differentiate cos3x to obtain -3 sin 3x
  2. [B1] Differentiate 5siny to obtain 5 cos y dy/dx
  3. [B1] Obtain -3 sin 3x + 5 cos y dy/dx = 0 OE
  4. [M1] Substitute x and y values to find value of first derivative
  5. [A1] Obtain 3/5

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About this question

Topic
Differentiation, A-Level Mathematics (syllabus 9709). Structured question, 5 marks.
Source
A-Level Mathematics, May/June 2020 Paper 2 Variant 2, question 3.

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