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

question 166

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) \(3\)

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