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Show that the required result is $\dfrac{dy}{dx} = \dfrac{1}{\cos x\sqrt{\cos 2x}}$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The variables $x$ and $y$ are linked by $\sin y = \tan x$, with $-\dfrac{\pi}{2} < y < \dfrac{\pi}{2}$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State $\cos y\dfrac{dy}{dx}$ as the derivative of $\sin y$” …
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