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O-LevelAdditional MathematicsDifferentiation and integration4037/12 · Oct/Nov 2011 · Q46 Marks

A curve has equation y = (3x² + 15)². Find the equation of the normal to the curve at the point where x = 2.

  1. A curve has equation y = (3x² + 15)². Find the equation of the normal to the curve at the point where x = 2.[6]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2011). The mark or mark type is shown in brackets.

  1. [B1] B1 for y = 9
  2. [B1, B1] B1 for (2/3).6x, B1 for (3x² +15)^(-1/3)
  3. [M1] M1 for use of m1m2 = -1
  4. [M1] M1 for attempt to find equation of normal, must be using gradient of a perpendicular line
  5. [A1] A1 allow unsimplified

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About this question

Topic
Differentiation and integration, O-Level Additional Mathematics (syllabus 4037). Structured question, 6 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2011 Paper 1 Variant 2, question 4.

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