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Suppose that $ f" $ is continuous and $ f'(c) = f"(c) = 0 $, but $ f"(c) > 0 $. Does $ f $ have a local maximum or minimum at $ c $? Does $ f $ have a point of inflection at $ c $?

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$f$ has an inflection point at $c$

Calculus 1 / AB

Calculus 2 / BC

Chapter 4

Applications of Differentiation

Section 3

How Derivatives Affect the Shape of a Graph

Derivatives

Differentiation

Volume

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