The function $f(x)=8 x \sqrt{x+1}$ satisfies the hypotheses of the Mean Value Theorem on the interval $[0,3]$ . Find all values of c that satisfy the conclusion of the theorem.

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The Function f(x)=8xx+1f(x)=8 x \sqrt{x+1}f(x)=8xx+1​ Satisfies the Hypotheses of the Mean Value Theorem on the Mean

The Function $f(x)=8 x \sqrt{x+1}$ Satisfies the Hypotheses of the Mean Value Theorem on the Mean