Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

For $0 < \theta < \frac{1}{2}\pi$, the parametric equations defining the curve are $x = \tan \theta$ and $y = 2\cos^2 \theta \sin \theta$.
(main)[5]

Show that $\frac{dy}{dx} = 6\cos^5 \theta - 4\cos^3 \theta$ holds.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Differentiate $y$ correctly by applying the product rule or the chain rule

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