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 - 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:
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