A curve has equation $$\(y=x^{3}-3 x+4\)$$. Determine whether each stationary point is a maximum or a minimum. Give reasons for your answers.

Mathematics
IGCSE&ALevel
CAIE
Exam No:0580_m20_qp_42 Year:2020 Question No:11(b)

Answer:

\((1,2)\) minimum with reason
\((-1,6)\) maximum with reason

Knowledge points:

E2.13.1 Understand the idea of a derived function.
E2.13.2
E2.13.3 Apply differentiation to gradients and turning points (stationary points).
E2.13.4 Discriminate between maxima and minima by any method.

Solution:

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