Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The curve is given by $y = 3\sin x + 4\cos^3 x$.
(i)[6]

Determine the $x$-coordinates of the stationary points of the curve for $0 < x < \pi$.

(ii)[2]

Find the nature of the stationary point in this interval whose $x$-value is the smallest.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Write down the derivative in any correct form, for example $3\cos x - 12\cos^2 x \sin x$

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