Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

A curve is defined by $\frac{dy}{dx} = 3x^2 + ax + b$. Its stationary points are located at $(-1, 2)$ and $(3, k)$.
(main)[8]

Determine the values of the constants $a$, $b$ and $k$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: Correct stationary-point equations obtained from $f'(x)=0$

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