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Determine the gradient of the curve at the point where $x = \frac{1}{3}\pi$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve is given by the equation $y = 3\tan\frac{1}{2}x\cos 2x$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or imply that $\frac{d}{dx}(\tan\tfrac{1}{2}x)=\tfrac{1}{2}\sec^2\tfrac{1}{2}x$ or $\frac{d}{dx}(\cos 2x)=-2\sin 2x$” …
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