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

Mathematics
IGCSE&ALevel
CAIE
Exam No:0580_s20_qp_43 Year:2020 Question No:12(a)(ii)

Answer:

\(\left(-\frac{1}{2}, 4\right)\) Max with reason
\(\left(\frac{1}{2}, 2\right)\) Min with reason

Knowledge points:

E2.13.4 Discriminate between maxima and minima by any method.

Solution:

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