Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

It is stated that the curve is described by $y = f(x)$, where $f(x) = x^3 - 2x^2 + x$.

(i)[4]

Determine the values of $x$ for which the gradient of the curve is less than $5$.

(ii)[5]

Determine the values of $f(x)$ at the two stationary points on the curve and decide the nature of each stationary point.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Differentiate, then substitute $y=5$” …