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O-LevelAdditional MathematicsDifferentiation and integration4037/12 · Oct/Nov 2014 · Q14 Marks

Find the coordinates of the stationary point on the curve y = x² + 16/x.

  1. Find the coordinates of the stationary point on the curve y = x² + 16/x.[4]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2014). The mark or mark type is shown in brackets.

  1. [1] M1 for attempt to differentiate all correct
  2. [1] A1 dy/dx = 2x - 16/x²
  3. [1] DM1 for equating dy/dx to zero and an attempt to solve for x.
  4. [1] A1 for both, but no extra solutions x = 2, y = 12

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About this question

Topic
Differentiation and integration, O-Level Additional Mathematics (syllabus 4037). Structured question, 4 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2014 Paper 1 Variant 2, question 1.

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