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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 $y = 3 \tan \frac{1}{2} x \cos 2x$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “States or indicates that the derivative of $\tan\frac{1}{2}x$ is $\frac{1}{2}\sec^2\frac{1}{2}x$, or that the derivative of $\cos2x$ is $-2\sin2x$” …
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