Mean Value Theorem

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This calculus video tutorial provides a basic introduction into the mean value theorem. It contains plenty of examples and practice problems that show you how to find the value of c in the closed interval [a,b] that satisfies the mean value theorem. For the mean value theorem to be applied to a function, you need to make sure the function is continuous on the closed interval [a, b] and differentiable on the open interval (a, b).

Derivative Applications - Free Formula Sheet:


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Introduction to Limits:


Derivatives - Fast Review:


Introduction to Related Rates:


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Extreme Value Theorem:


Finding Critical Numbers:


Local Maximum & Minimum:


Absolute Extrema:


Rolle's Theorem:


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Mean Value Theorem:


Increasing and Decreasing Functions:


First Derivative Test:


Concavity & Inflection Points:


Second Derivative Test:


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L'Hopital's Rule:


Curve Sketching With Derivatives:


Newton's Method:


Optimization Problems:


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Final Exams and Video Playlists:


Full-Length Videos and Worksheets: