Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

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

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI