The Function $f(x)=\frac{1}{3} x^{3}-16 x$ Satisfies the Hypotheses of Rolle's Theorem on the Interval

Multiple Choice

The function $f(x) =\frac{1}{3} x^{3}-16 x$ satisfies the hypotheses of Rolle's Theorem on the interval $[0,4 \sqrt{3}]$ . Find all values of c that satisfy the conclusion of the theorem.

A) $\pm 3$
B) $4$
C) $\pm 4$
D) $3$