Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The equation of a curve is $y = 2x + \frac{1}{(x - 1)^2}$.
(main)[5]

Verify that the curve has a stationary point at $x = 2$, then decide whether it is a maximum or minimum.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: First derivative correctly given by $\frac{dy}{dx}=2-2(x-1)^{-3}$

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