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Rolle's Theorem
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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.
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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:
_________________________________
L'Hopital's Rule:
Curve Sketching With Derivatives:
Newton's Method:
Optimization Problems:
_______________________________________
Final Exams and Video Playlists:
Full-Length Videos and Worksheets:
___________________________
Introduction to Limits:
Derivatives - Fast Review:
Introduction to Related Rates:
_____________________________
Extreme Value Theorem:
Finding Critical Numbers:
Local Maximum & Minimum:
Absolute Extrema:
Rolle's Theorem:
________________________________
Mean Value Theorem:
Increasing and Decreasing Functions:
First Derivative Test:
Concavity & Inflection Points:
Second Derivative Test:
_________________________________
L'Hopital's Rule:
Curve Sketching With Derivatives:
Newton's Method:
Optimization Problems:
_______________________________________
Final Exams and Video Playlists:
Full-Length Videos and Worksheets:
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