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A-LevelMathematicsDifferentiation9709/32 · Feb/Mar 2019 · Q55 Marks

The variables x and y satisfy the relation sin y = tan x, where –½π < y < ½π. Show that dy/dx = 1 / (cos x √(cos 2x)).

Mark scheme

Marking points from the official mark scheme (Feb/Mar 2019). The mark or mark type is shown in brackets.

  1. [B1] State cos y dy/dx as derivative of sin y
  2. [B1] State correct derivative in terms of x and y, e.g. sec²x / cos y
  3. [B1] State correct derivative in terms of x, e.g. sec²x / √(1-tan²x)
  4. [M1] Use double angle formula
  5. [A1] Obtain the given answer correctly

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About this question

Topic
Differentiation, A-Level Mathematics (syllabus 9709). Structured question, 5 marks.
Source
A-Level Mathematics, Feb/Mar 2019 Paper 3 Variant 2, question 5.

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