Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The diagram gives the section of the curve $y = \frac{1}{2}\tan 2x$ for $0 \leq x \leq \frac{1}{2}\pi$.
(main)[5]

Determine the $x$-coordinates of the points on this section of the curve where the gradient is $4$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Differentiate to get an expression of the form $k\sec^2(2x)$, where $k=1$ or $k=\frac{1}{2}$

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