alleryTo classify a critical point by looking at how the derivative's sign changes across it, a student uses the:
AFixed interval test
BFirst derivative test
CFifth derivative test
DFinal difference test
Answer & Solution
Correct answer: B. First derivative test
1. Increasing then decreasing means a peak.
2. Decreasing then increasing means a trough.
3. That sign check is the first derivative test.
_Source: OpenStax Calculus Volume 1, Chapter 4, Applications of Derivatives._
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