Candidates Test for Absolute Extrema
Which of the following is a required step in the Candidates Test for finding the absolute extrema of a continuous function on a closed interval?
| 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 points where the derivative equals zero.
B
Only evaluate the function at the endpoints of the interval.
C
Evaluate only the second derivative at the candidate points.
D
Evaluate the function at both the critical numbers and the endpoints of the interval.
Question Leaderboard
Not enough data yet to show leaderboard.