Mathematics

Problem

Which of the following best defines a critical number of a function

f

on an interval

I

? a) A value

c

in the domain of

f

where

f'(c)=0

. b) A value

c

in the domain of

f

where

f'(c)=0

f'(c)

does not exist. c) A value

c

in the interval

I

where

f

attains a local maximum. d) A value

c

in the domain of

f

where

f''(c)=0

and

f

is twice–differentiable on

I