Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The curve $y = f(x)$ has a stationary point at $(2, 10)$, and $f''(x) = \frac{12}{x^3}$ is given.

(i)[6]

Determine $f(x)$.

(ii)[2]

Determine the coordinates of the other stationary point.

(iii)[2]

State the nature of each stationary point.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Integration gives $f'(x)=-\frac{6}{x^2}+c$” …