Rolle's Theorem

This calculus video tutorial provides a basic introduction into rolle's theorem.  It contains plenty of examples and practice problems on how to find the value of c that will satisfy the conclusion of rolle's theorem on the closed interval [a, b].  For rolle's theorem to apply to  a function, there are 3 conditions that must be met.  (1)  The function must be continuous on the closed interval [a, b].  (2)  The function must be differentiable on the open interval (a, b).  (3)  f(a) = f(b).  If these conditions are met, then f'(c)=0.  There were be some number c in the interval [a, b] where a horizontal tangent line will exist.  

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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