Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

A curve is described by $y = 2x + 1 + \frac{1}{2x + 1}$, with $x > -\frac{1}{2}$.

(a)[3]

Find $\frac{dy}{dx}$ together with $\frac{d^2 y}{dx^2}$.

(b)[5]

Find the coordinates of the stationary point, and determine the nature of the stationary point.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Accurate $\frac{dy}{dx}$” …