The Function $f ( x ) = \frac { 1 } { 3 } x ^ { 3 } - 25 x$

question 43

Multiple Choice

The function $f ( x ) = \frac { 1 } { 3 } x ^ { 3 } - 25 x$ satisfies the hypotheses of Rolle's Theorem on the interval $[ 0,5 \sqrt { 3 } ]$ . Find all values of $c$ that satisfy the conclusion of the theorem.

• A) \(\pm 5\)
• B) 5
• C) \(\pm 4\)
• D) 4

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