Mathematics 0580 · IGCSE · Differentiation

Differentiation — practice question

The curve is described by $y = x^4 - 8x^2 + 5$.
(a)[2]

Determine the derivative, $\left(\frac{dy}{dx}\right)$, for $y = x^4 - 8x^2 + 5$.

(b)[4]

Find the coordinates of the three turning points. Show every step of your working.

(c)[2]

Decide which of these turning points is a maximum. Give a reason for your choice.

Worked solution & mark scheme

This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: The derivative is $4x^3-16x$.

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