Mathematics 0580 · IGCSE · Differentiation

Differentiation — practice question

The curve $y = x^3 + 2x^2 - 4x$ is displayed on the grid. The diagram includes the $x$-axis and $y$-axis, along with the cubic curve.

(a)[3]

Using a suitable tangent, estimate the gradient of the curve at $x = 1$.

(b)[1]

Give the coordinates of $D$.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Tangent drawn correctly, with no daylight” …