Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

A curve is given by the parametric equations $x = e^{2t}$, $y = 4te^t$.

(i)[4]

Show that, $rac{dy}{dx} = rac{2(t + 1)}{e^t}$.

(ii)[4]

Find the equation of the normal to the curve when $t = 0$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme.