Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

A curve is defined by $\frac{dy}{dx} = 3x^2 - 6$, and the point $(9, 2)$ lies on it.
(i)[4]

Find the equation for the curve.

(ii)[3]

Find the $x$-coordinate of the stationary point on the curve and determine the nature of that stationary point.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Integration leads to $y = \frac{3x^{3/2}}{2} - 6x + c$” …

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