Explain in one or two sentences why the information at a point where does not by…

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Explain in one or two sentences why the information

f''(c)=0

at a point where

f'(c)=0

does not by itself determine whether

x=c

is a local maximum or a local minimum.