Apentix/AP Calculus AB/Unit 5: Analytical Applications of Differentiation/Question
AP Calculus ABmediummcq1 pt

A point of inflection occurs where:

A.f''(x) = 0 and the concavity changes
B.f'(x) = 0
C.f(x) = 0
D.The function has a vertical tangent

Explanation

Core Concept

A point of inflection occurs where the second derivative is zero AND the concavity changes sign. Just having f''(x) = 0 is necessary but not sufficient.

Correct Answer

Af''(x) = 0 and the concavity changes

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