Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The curve is defined by $\frac{dy}{dx} = 3x^2 + 10x - 8$.

(a)[3]

Determine the values of $x$ for which $y$ falls as $x$ rises.

(b)[4]

The curve's maximum point has $y$-coordinate 27. Find the equation of the curve.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Accurate inequality $3x^2+10x-8<0$” …