Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

For the curve $y = \dfrac{2 - \sin x}{\cos x}$, there is a single stationary point within $-\tfrac{1}{2}\pi < x < \tfrac{1}{2}\pi$.
(i)[5]

Give the exact coordinates of this point.

(ii)[2]

Decide whether this point is a maximum point or a minimum point.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply the product or quotient rule correctly, or rewrite as $2\sec x-\tan x$, then differentiate

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