Mean Value Theorem

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).

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Introduction to Limits:
   • Calculus 1 - Introduction to Limits  

Derivatives - Fast Review:
   • Calculus 1 - Derivatives  

Introduction to Related Rates:
   • Introduction to Related Rates  

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Extreme Value Theorem:
   • Extreme Value Theorem  

Finding Critical Numbers:
   • Finding Critical Numbers  

Local Maximum & Minimum:
   • Finding Local Maximum and Minimum Val...  

Absolute Extrema:
   • Finding Absolute Maximum and Minimum ...  

Rolle's Theorem:
   • Rolle's Theorem  

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Mean Value Theorem:
   • Mean Value Theorem  

Increasing and Decreasing Functions:
   • Increasing and Decreasing Functions -...  

First Derivative Test:
   • First Derivative Test  

Concavity & Inflection Points:
   • Concavity, Inflection Points, and Sec...  

Second Derivative Test:
   • Second Derivative Test  

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L'Hopital's Rule:
   • L'hopital's rule  

Curve Sketching With Derivatives:
   • Curve Sketching - Graphing Functions ...  

Newton's Method:
   • Newton's Method  

Optimization Problems:
   • Optimization Problems - Calculus  

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