Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

It is stated that $f(x) = (2x - 5)^3 + x$, for $x \in \mathbb{R}$.
(main)[3]

Show that the function $f$ increases.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: Differentiate to get $f'(x)=2(2x-5)^2+2$ or $f'(x)=24\left(x-\frac{5}{2}\right)^2+1$

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