Find all of the values of that satisfy Rolle's Theorem for on the interval .

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

Problem

5. Find all of the values of

c

that satisfy Rolle's Theorem for

f(x)=x^{4}-5 x^{2}+4

on the interval

[-3,3]

. (A)

c=0

(B)

c= \pm \sqrt{\frac{5}{2}}

(C)

c=0, \pm 2

(D)

c=0, \pm \sqrt{\frac{5}{2}}