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CAPE Pure Mathematics Unit 1 · May/June 2005 · Paper 1 · Question 13(a)

P is the point on the curve y = 2x^3 + kx - 5 where x = 1 and the gradient is -2.

Find the value of the constant k.

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Other parts of this question

  1. 13(b)Find the value of d^2y/dx^2 at P.[2 marks]
  2. 13(c)Find the equation of the normal to the curve at P.[4 marks]

More practice: the rest of this paper · more Differentiation I questions · all CAPE Pure Mathematics Unit 1 past papers