Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

For the curve $y = f(x)$, the function is defined by $f(x) = (4x - 3)^{\frac{5}{3}} - \frac{20}{3}x$.

(a)[6]

Determine the $x$-coordinates of the stationary points on the curve, and state the nature of each one.

(b)[1]

State the collection of values of $x$ for which the function $f$ is increasing.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme.