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Chapter 06Applications of Derivatives

0106.01Position, Velocity, and Acceleration
0206.02Related Rates
0306.03Linear Approximation
0406.04Critical Points and Critical Values
0506.05The Extreme Value Theorem
0606.06Rolle's Theorem
0706.07The Mean Value Theorem
0806.08Increasing, Decreasing, and Concavity
0906.09First and Second Derivative Tests
1006.10Indeterminate Forms and L'Hôpital's Rule
1106.11Optimization Problems
1206.12Newton's Method

Chapter 06 · Applications of Derivatives

0106.01Position, Velocity, and Acceleration
0206.02Related Rates
0306.03Linear Approximation
0406.04Critical Points and Critical Values
0506.05The Extreme Value Theorem
0606.06Rolle's Theorem
0706.07The Mean Value Theorem
0806.08Increasing, Decreasing, and Concavity
0906.09First and Second Derivative Tests
1006.10Indeterminate Forms and L'Hôpital's Rule
1106.11Optimization Problems
1206.12Newton's Method

Topics / 06 Applications of Derivatives

06.07

The Mean Value Theorem

Somewhere, the instantaneous rate equals the average rate: the tangent line parallel to the secant line.

About 14 minutes

You'll learn to

→State the Mean Value Theorem
→Find the c it guarantees
→Use it to bound how much a function can change

← 06.06 Rolle's Theorem 06.08 Increasing, Decreasing, and Concavity →

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