Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

A curve has equation $y = x^3e^{-x}$.

(i)[3]

Show that the curve has a stationary point at $x = 3$.

(ii)[4]

Find the equation of the tangent to the curve at the point with $x = 1$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Apply product rule” …