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1 Pure Mathematics

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Question 76

The curve C C\,C has equation y=g(x)y = g(x)y=g(x), where g(x)g(x)g(x) is a cubic expression.

It is given that

the coefficient of x3 x^3\,x3 in g(x)g(x)g(x) is 1

C C\,C passes through the origin

C C\,C has a stationary point at (2,−4)(2, -4)(2,−4)

a.

Find g(x)g(x)g(x).

[5]
b.

Prove that the stationary point at (2,−4)(2, -4)(2,−4) is a minimum.

[2]
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1 Pure Mathematics Questions

  1. A Level
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