Mathematics 9709 · AS & A Level · Logarithmic and exponential functions

Logarithmic and exponential functions — practice question

The diagram displays the graph of $y=e^{\sin 2x}\cos 4x$ for $0\leq x\leq \frac{1}{4}\pi$, together with its maximum point $M$.
(main)[5]

Find the $x$-coordinate for $M$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply the correct product rule: $p\sin2x\,e^{\sin2x}+q\cos2x\cos4x\,e^{\sin2x}$

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