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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

06.05

The Extreme Value Theorem

A continuous function on a closed interval always has a highest and lowest value. How to find them.

About 13 minutes

You'll learn to

→State the Extreme Value Theorem and its conditions
→Find absolute extrema with the Closed Interval Method
→Tell absolute from local extrema

← 06.04 Critical Points and Critical Values 06.06 Rolle's Theorem →

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