(a)[3]
Determine an expression for $\frac{dy}{dx}$ in terms of $t$.
(b)[5]
Determine the coordinates of $M$, with each coordinate correct to 3 significant figures.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The diagram depicts the curve given by the parametric equations $x = 4e^{2t}$ and $y = 5e^{-t}\cos 2t$, for $-\frac{1}{4}\pi \le t \le \frac{1}{4}\pi$. The curve includes a maximum point $M$.