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By the second derivative test, a critical point $c$ of $f$ with $f''(c) > 0$ is a:
ALocal maximum on the school chart at the critical point
BSaddle point that is neither maximum nor minimum on chart
CLocal minimum on the school chart at the critical point
DInflection point on the chart with no extremum on chart
Answer & Solution
Correct answer: C. Local minimum on the school chart at the critical point
If $f'(c) = 0$ and $f''(c) > 0$, $c$ is a local minimum.
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