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O-LevelAdditional MathematicsDifferentiation and integration4037/22 · May/June 2012 · Q24 Marks

Given that y = √(4x + 1)³, find dy/dx

  1. (i)Given that y = √(4x + 1)³, find dy/dx[2]
  2. (ii)Hence find the approximate increase in y as x increases from 6 to 6 + p, where p is small.[2]

Mark scheme

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

  1. [M1] (i) k√(4x+1) oe
  2. [A1] (i) k = 6 allow unsimplified
  3. [M1] (ii) Use δy = dy/dx (x=6) × p
  4. [A1√] (ii) 30p

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About this question

Topic
Differentiation and integration, O-Level Additional Mathematics (syllabus 4037). Structured question, 4 marks.
Source
O-Level Additional Mathematics, May/June 2012 Paper 2 Variant 2, question 2.

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