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3.6.2 Differentiation (A-level only)

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Question 27

A curve C C\,C is defined by the function

y=15+12x−12x2−13x3 y = 15 + 12x - \frac{1}{2}x^2 - \frac{1}{3}x^3 y=15+12x−21​x2−31​x3
a.

Using calculus, determine the xxx-coordinates of the stationary points of CCC.

[4]
b.

Justify, by using the second derivative, the nature of each of these stationary points.

[3]

3.6.2 Differentiation (A-level only) Questions

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