Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The curve is defined by $y = (2x - 1)^{-1} + 2x$.
(i)[3]

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

(ii)[4]

Find the $x$-coordinates of the stationary points and, with all required working shown, state the nature of each stationary point.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate to get $\frac{dy}{dx}=-2(2x-1)^{-2}+2$” …

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