Mathematics 0580 · IGCSE · Differentiation

Differentiation — practice question

The diagram contains a sketch of $y=18+5x-2x^2$.

(a)[4]

Find the coordinates of $A$, $B$ and $C$.

(b)[2]

Differentiate the expression $18+5x-2x^2$.

(c)[3]

Find the coordinates of the point on $y=18+5x-2x^2$ at which the gradient is 17.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Hence $B=(0,18)$.” …