Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

A curve is given by $y = f(x)$. It is stated that $f'(x) = 3x^2 + 2x - 5$.

(i)[3]

Find the set of $x$-values for which $f$ is an increasing function.

(ii)[4]

Find $f(x)$, given that the curve goes through $(1,3)$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Factorised inequality $(3x+5)(x-1)>0$.” …