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O-LevelAdditional MathematicsDifferentiation and integration4037/12 · Oct/Nov 2015 · Q56 Marks

Variables x and y are such that y = (x - 3)ln(2x² + 1).

  1. (i)Find the value of dy/dx when x = 2.[4]
  2. (ii)Hence find the approximate change in y when x changes from 2 to 2.03.[2]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2015). The mark or mark type is shown in brackets.

  1. [B1] for correct differentiation of ln function
  2. [M1] for attempt to differentiate a product
  3. [A1] for correct product, terms must be bracketed where appropriate
  4. [A1] for correct final answer
  5. [M1] for attempt to use small changes
  6. [A1FT] follow through on their numerical answer to (i) allow to 2 sf or better

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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 2015 Paper 1 Variant 2, question 5.

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