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:
https://www.youtube.com/watch?v=YNstP0ESndU

Derivatives - Fast Review:
https://www.youtube.com/watch?v=5yfh5cf4-0w

Introduction to Related Rates:
https://www.youtube.com/watch?v=I9mVUo-bhM8

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Extreme Value Theorem:
https://www.youtube.com/watch?v=Sx2lPZlnWfs

Finding Critical Numbers:
https://www.youtube.com/watch?v=Bp9EbV3COVA

Local Maximum & Minimum:
https://www.youtube.com/watch?v=WCq3sRzsJfs

Absolute Extrema:
https://www.youtube.com/watch?v=3wrXDw5ETh4

Rolle's Theorem:
https://www.youtube.com/watch?v=LHym1ARc2cE

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Mean Value Theorem:
https://www.youtube.com/watch?v=SL2RobwU_M4

Increasing and Decreasing Functions:
https://www.youtube.com/watch?v=Dyl7jPlJXOM

First Derivative Test:
https://www.youtube.com/watch?v=G5wlKltW7pM

Concavity & Inflection Points:
https://www.youtube.com/watch?v=OhqNbQi9QPk

Second Derivative Test:
https://www.youtube.com/watch?v=G8GAsYkZlpE

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L'Hopital's Rule:
https://www.youtube.com/watch?v=Gh48aOvWcxw

Curve Sketching With Derivatives:
https://www.youtube.com/watch?v=JTVNUdL7sWs

Newton's Method:
https://www.youtube.com/watch?v=-5e2cULI3H8

Optimization Problems:
https://www.youtube.com/watch?v=lx8RcYcYVuU

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Final Exams and Video Playlists:
https://www.video-tutor.net/

Full-Length Videos and Worksheets:
https://www.patreon.com/MathSc....ienceTutor/collectio