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5 marksDifferentiation I

CAPE Pure Mathematics Unit 1 · May/June 2008 · Paper 2 · Question 5(c)(iii)

The curve C passes through the point (-1, 0) and its gradient at any point (x, y) is given by dy/dx = 3x² - 6x.

Sketch the graph of C and label the x-intercepts.

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Other parts of this question

  1. 5(a)Find lim (as x→3) (x² - 27) / (x² + x - 12).[4 marks]
  2. 5(b)Find the values of u and v.[6 marks]
  3. 5(c)(i)Find the equation of C.[3 marks]
  4. 5(c)(ii)Find the coordinates of the stationary points of C and determine the nature of EACH point.[7 marks]

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