Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The equation of a curve is $y = \frac{8}{x} + 2x$.
(a)[3]

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

(b)[5]

State the coordinates of the stationary points and, with a reason, identify the nature of each stationary point.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “By differentiation, $\frac{dy}{dx}=-\frac{8}{x^2}+2$” …

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