The Function $f(x)=x \sqrt{64-x^{2}}$ Satisfies the Hypotheses of Rolle's Theorem on the Interval

Multiple Choice

The function $f(x) =x \sqrt{64-x^{2}}$ satisfies the hypotheses of Rolle's Theorem on the interval $[-8,8]$ . Find all values of c that satisfy the conclusion of the theorem.

A) $\pm 4 \sqrt{2}$
B) 1
C) $\pm 1$
D) $4 \sqrt{2}$