Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The curve satisfying $\frac{d^2 y}{dx^2} = 2x - 5$ has a stationary point at $(3, 6)$.
(i)[6]

Find the equation that describes the curve.

(ii)[1]

Find the $x$-coordinate for the other stationary point on the curve.

(iii)[2]

Determine the type of each stationary point.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: Carries out integration to obtain $\frac{dy}{dx} = x^2-5x+c$

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