Rolle's Theorem Video
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 will be some number c in the interval [a, b] where a horizontal tangent line will exist.
Derivative Applications - Formula Sheet: https://www.video-tutor.net/calculus-formula-sheets.html
Final Exam and Test Prep Videos:
https://bit.ly/41WNmI9
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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:
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