Which of the following best describes a critical number of a function that is defined…

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

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

f

that is defined on an open interval

(a,b)

? (a) A value

c

(a,b)

at which

f'(c)=0

(b) A value

c

(a,b)

where

f(c)=0

c

(a,b)

at which

f'(c)=0

f'(c)

does not exist, provided

f

is defined at

c

(d) A value

c

(a,b)

where

f''(c)=0

and

f

is continuous at

c