Is there a in the interval for where ? Justify your answer.
If is continuous AND differentiable on the given domain, then the Mean Value Theorem will apply.
The Mean Value Theorem
The Mean Value Theorem for Integrals
If is continuous on , then there exists at least one point in such that .
The Mean Value Theorem for Derivatives
If is continuous on and differentiable on , then there exists at least one point in such that .
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