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O-LevelAdditional MathematicsDifferentiation and integration4037/11 · May/June 2010 · Q15 Marks

Differentiate with respect to x

  1. (i)√1 + x3,[2]
  2. (ii)x2 cos 2x.[3]

Mark scheme

Marking points from the official mark scheme (May/June 2010). The mark or mark type is shown in brackets.

  1. [2] (i) B1 for (1/2)(1+x^3)^(-1/2); B1 for 3x^2
  2. [3] (ii) M1 for attempt to differentiate a product; A2 for 2x cos2x - 2x^2 sin2x (A1 for one error)

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About this question

Topic
Differentiation and integration, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source
O-Level Additional Mathematics, May/June 2010 Paper 1 Variant 1, question 1.

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