Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The curve is given by the equation $y = 54x - (2x - 7)^3$.
(a)[4]

Find both $\frac{dy}{dx}$ and $\frac{d^2y}{dx^2}$.

(b)[3]

Find the coordinates of the stationary points on the curve.

(c)[2]

Determine the nature of each stationary point.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate to obtain $\frac{dy}{dx}=54-6(2x-7)^2$” …

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