(i)[4]
Determine the equation of the tangent to the curve at the origin.
(ii)[4]
Find the coordinates of $M$, with each coordinate correct to 3 decimal places.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The diagram depicts the segment of the curve $y = 3e^{-x}\sin 2x$ for $0 \leq x \leq \tfrac{1}{2}\pi$, together with the stationary point $M$.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Apply product rule to get an expression in the form $k_1 e^{-x}\sin 2x + k_2 e^{-x}\cos 2x$” …
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