Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The function $f$ has derivative $f'(x) = 6(2x - 3)^2 - 6x$ for $x \in \mathbb{R}$.

(a)[4]

Find the values of $x$ for which $f(x)$ is decreasing.

(b)[4]

Using $f(1) = -1$, determine $f(x)$.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Sets up the inequality $6(2x-3)^2-6x<0$” …