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O-LevelAdditional MathematicsDifferentiation and integration4037/12 · May/June 2012 · Q56 Marks

Differentiate the following with respect to x.

  1. (i)(2-x²)ln(3x + 1)[3]
  2. (ii)(4 - tan 2x) / (5x)[3]

Mark scheme

Marking points from the official mark scheme (May/June 2012). The mark or mark type is shown in brackets.

  1. [B1] B1 for differentiating ln(3x + 1) correctly
  2. [M1] M1 for correct attempt at product
  3. [A1] A1 for all else correct
  4. [B1] B1 for differentiating tan(4 – 2x) correctly
  5. [M1] M1 for correct attempt at quotient or product
  6. [A1] A1 for all else correct

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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, May/June 2012 Paper 1 Variant 2, question 5.

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