For a function that is differentiable for all real numbers

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

Problem

For a function

f

that is differentiable for all real numbers, which of the following must be true at a critical point

c

f

? (a)

f''(c)=0

(b)

f'(c)=0

(c)

f'(c)

does not exist (d)

f(c)=0