A curve has the equation $$\(y=x^{3}+8 x^{2}+5 x\)$$. Determine whether each of the turning points is a maximum or a minimum. Give reasons for your answers.
Exam No：0580_s20_qp_41 Year：2020 Question No：10(b)(ii)
Answer:
\(\left(-\frac{1}{3},-\frac{22}{27}\right)\) minimum
\((-5,50)\) maximum
with correct reasons
\((-5,50)\) maximum
with correct reasons
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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