Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The graph of $y = f(x)$ includes the points $(0, 2)$ and $(3, -1)$.
(main)[5]

Given that $f'(x) = kx^2 - 2x$, where $k$ is a constant, Find the value of $k$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Carry out the integration to reach $y=\frac{1}{3}kx^3-x^2+c$ or any equivalent form

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