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6 marksDifferentiation I

CAPE Pure Mathematics Unit 1 · 2022 · Paper 2 · Question 5(c)(i)

A function f is given as f(x) = 4x^3 - 3x^2 + 1, for -1 \le x \le 1. Determine the coordinates of the stationary points of the function f.

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  1. 5(a)Determine \lim_{x \to 2} \frac{x^2 + 3x - 10}{x^2 + x - 6}.[5 marks]
  2. 5(b)A ladder which is 10\text{ metres} long is leaning against a wall. The bottom of the ladder is sliding away from the base of the wall at a rate of…[7 marks]
  3. 5(c)(ii)Determine the nature of these stationary points.[4 marks]
  4. 5(c)(iii)Determine the absolute maximum and minimum values of the function f.[3 marks]

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