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By the second derivative test, if $f'(c) = 0$ and $f''(c) > 0$, then $c$ is a point of:

Ainflection
Blocal minimum
Clocal maximum
Ddiscontinuity
Answer & Solution
Correct answer: B. local minimum
f'(c)=0 with f''(c)>0 indicates a local minimum (curve concave up).
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