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8 marksDifferentiation I

CAPE Pure Mathematics Unit 1 · May/June 2015 · Paper 2 · Question 6(b)(ii)

The gradient function of a curve y = f(x) which passes through the point (0, –6) is given by 3x² + 8x - 3.

Find the coordinates and nature of the stationary point of the curve in (b) (i) above.

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Other parts of this question

  1. 6(a)(i)Show that the coordinates of A, B and C are (4, 5), (3, 2), and (6, 3) respectively.[5 marks]
  2. 6(a)(ii)Hence, use integration to determine the area bounded by the lines.[6 marks]
  3. 6(b)(i)Determine the equation of the curve.[3 marks]
  4. 6(b)(iii)Sketch the curve in (b) (i) by clearly labelling the stationary points.[3 marks]

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