Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

A curve is given by $y = \dfrac{kx^2}{x + 2} + x$, where $k$ is a positive constant.
(main)[8]

Find, in terms of $k$, the $x$-values at which the curve has stationary points, and determine the nature of each stationary point.

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This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate the expression and set $\frac{dy}{dx}=0$” …

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