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).

Introduction to Limits: https://www.youtube.com/watch?v=YNstP0ESndU
3-Step Continuity Test: https://www.youtube.com/watch?v=WT7oxiiFYt8
Continuity & Differentiability: https://www.youtube.com/watch?v=fml0-ELYLaE&
Limit Definition of The Derivative: https://www.youtube.com/watch?v=-aTLjoDT1GQ
Calculus 1 - Derivatives: https://www.youtube.com/watch?v=5yfh5cf4-0w
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Introduction to Related Rates: https://www.youtube.com/watch?v=I9mVUo-bhM8
Derivative Notations: https://www.youtube.com/watch?v=7BK_mmYckmI
The Cube: https://www.youtube.com/watch?v=r5PTN2TgGwc
Inflated Balloon & Melting Snowball: https://www.youtube.com/watch?v=8dm0UtPyYj8
Gravel Dumped Into Conical Tank: https://www.youtube.com/watch?v=xvbrEfVLQ4k
Area of a Triangle: https://www.youtube.com/watch?v=RGRhinA7YDI
The Ladder Problem: https://www.youtube.com/watch?v=W3qoQIlfG0E
Distance Problem: https://www.youtube.com/watch?v=_sbq6yZ9Kt8
Airplane Problems: https://www.youtube.com/watch?v=jUn8MpV80po
The Shadow Problem: https://www.youtube.com/watch?v=-En2IABPR0I
The Baseball Diamond Problem: https://www.youtube.com/watch?v=zytwFSyH0_0
The Angle of Elevation Problem: https://www.youtube.com/watch?v=dUBeikdfK10
More Practice Problems: https://www.youtube.com/watch?v=ps-r4nti5Go
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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
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
Marginal Cost & Total Average Cost: https://www.youtube.com/watch?v=uPp1QZZKc8E
Marginal Revenue and Profit: https://www.youtube.com/watch?v=VWShego7Ds8
Tangent Line Approximations: https://www.youtube.com/watch?v=XQaCbFMnDo0
Differentials & Local Linearization: https://www.youtube.com/watch?v=C5RI5eLzVfo
Estimating Function Values: https://www.youtube.com/watch?v=NL0NFV-O8Vg
Antiderivatives: https://www.youtube.com/watch?v=xaCPDMEkbig
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Save Money In College: https://www.youtube.com/watch?v=yNO02qfMSwI
SAT Test Prep: https://www.youtube.com/watch?v=fTGuTEQCsZY
ACT Test Prep: https://www.youtube.com/watch?v=SsA7rZ8kczM
Calculus 1 Final Exam Review: https://www.youtube.com/watch?v=WmBzmHru78w
Full-Length Exams and Worksheets: https://bit.ly/4990rzU