APFIVE Candidates Test for Absolute Extrema
When applying the candidate’s test to find absolute extrema of a continuous function on a closed interval, which of the following steps is crucial?
| Candidate Points | Reason for Evaluation |
|---|---|
| Critical Numbers | Where $$f'(x)=0$$ or is undefined |
| Endpoints | The boundaries of the closed interval |
A
Only evaluate the function at the endpoints of the interval.
B
Evaluate the function at both the critical numbers and the endpoints of the interval.
C
Evaluate only the second derivative at the candidate points.
D
Only evaluate the function at points where the derivative equals zero.
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