Question

What is different between critical point and inflection point?

Answer 1

critical point of

f

= critical number for

f

= value of

x

(the independent variable) that is 1) in the domain of

f

, where

f

'

is either

0

or does not exists. (Values of

x

that meet the conditions of Fermat's Theorem.)

An inflection point for

f

is a point on the graph (has both

x

and

y

coordinates) at which the concavity changes