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A-LevelFurther MathematicsDifferentiation9231/12 · Oct/Nov 2017 · Q58 Marks

The curve C has equation 2x³ + 3x²y – 3y³ – 16 = 0.

  1. (i)Find the coordinates of the point A on C at which dy/dx = 0 and x ≠ 0.[5]
  2. (ii)Find the value of d²y/dx² at A.[3]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2017). The mark or mark type is shown in brackets.

  1. [2] M1A1
  2. [2] M1A1
  3. [1] A1
  4. [1] *M1
  5. [1] DM1
  6. [1] A1

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About this question

Topic
Differentiation, A-Level Further Mathematics (syllabus 9231). Structured question, 8 marks.
Source
A-Level Further Mathematics, Oct/Nov 2017 Paper 1 Variant 2, question 5.

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