Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

A curve has parametric equations $x = \frac{\cos \theta}{2 - \sin \theta}$, $y = \theta + 2\cos \theta$.
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Show that, after simplification, $\frac{dy}{dx} = (2 - \sin \theta)^2$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: State the value of $\frac{dy}{d\theta}$ as $1 - 2\sin\theta$

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