A curve is given by the parametric equations $x = e^{-t} \cos t$, $y = e^{-t} \sin t$.
(main)[6]
Hence prove that $\frac{dy}{dx} = \tan\left(t - \frac{\pi}{4}\right)$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Apply the correct product or quotient rule at least once” …