(i)[5]
Find $\frac{dy}{dx}$ in terms of $x$ and $y$.
(ii)[3]
Hence determine the exact $x$-coordinate of the point on the curve where the tangent is parallel to the $x$-axis.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve is described by $\sin y \ln x = x - 2\sin y$, for $-\frac{1}{2}\pi \leq y \leq \frac{1}{2}\pi$.
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This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State the correct derivative of $\sin y$ with respect to $x$.” …
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