Mathematics 0580 · IGCSE · Differentiation

Differentiation — practice question

(a)[4]

On the coordinate axes, sketch the graph of $y=x^2+7x-18$. Label on your sketch the points where the graph crosses the $x$-axis and the $y$-axis.

(b(i))[2]

Find the derivative for $y=x^2-3x-28$.

(b(ii))[3]

Find the coordinates of the turning point for $y=x^2-3x-28$.

(c)[6]

Find the coordinates of $P$ and $Q$. Show all working, and give your answers correct to 2 decimal places.

Worked solution & mark scheme

This 15-mark question has a full step-by-step worked solution and mark scheme. One marking point: U-shaped parabola drawn correctly, with roots $-9$ and $2$ and $y$-intercept $-18$

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