AP Calculus ABmediummcq1 pt

A point of inflection occurs where:

A.f'(x) = 0
B.f''(x) = 0 and the concavity changes
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

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

More Unit 5: Analytical Applications of Differentiation practice questions

Try a random question →

Practice more AP Calculus AB questions with full explanations

Practice Unit 5: Analytical Applications of Differentiation Questions →