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6 marksDifferentiation I

CAPE Pure Mathematics Unit 1 · May/June 2004 · Paper 2 · Question 6(d)

Sketch the curve, f(x) = x³ - 3x + 2, for -2 ≤ x ≤ 2.

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Other parts of this question

  1. 6(a)Find the stationary point(s) of the curve, f(x) = x³ - 3x + 2.[6 marks]
  2. 6(b)Determine the nature of the stationary point(s).[3 marks]
  3. 6(c)Show that the curve f(x) touches the x-axis at x = 1.[4 marks]
  4. 6(e)Find the area bounded by this curve and the x-axis for -2 ≤ x ≤ 1.[6 marks]

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