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O-LevelAdditional MathematicsDifferentiation and integration4037/12 · Oct/Nov 2018 · Q45 Marks

y = x³ ln(2x+1)

  1. (i)Find the value of dy/dx when x = 0.3. You must show all your working.[4]
  2. (ii)Hence find the approximate increase in y when x increases from 0.3 to 0.3+h, where h is small.[1]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2018). The mark or mark type is shown in brackets.

  1. [B1] For 2/(2x+1)
  2. [M1] For attempt to differentiate a product
  3. [A1] For all other terms correct
  4. [A1] For awrt 0.161
  5. [B1] FT on their numerical answer to part (i)

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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, Oct/Nov 2018 Paper 1 Variant 2, question 4.

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