Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The graph of $y = f(x)$ has a stationary point at $(3, 7)$, and it is given that $f''(x) = 36x^{-3}$.

(i)[1]

State, giving a reason, whether this stationary point is a maximum or a minimum.

(ii)[7]

Find $f'(x)$, then determine $f(x)$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Minimum correctly justified from $f''(3) > 0$.” …