1. Extreme Values of Functions
Chapter 5
Applications of Derivatives
Section 5.1
Extreme Values of
Functions

2. Quick Review

3. Quick Review

4. Quick Review Solutions

5. Quick Review Solutions

6. What you’ll learn about
Absolute (Global) and Local (Relative) Extrema
The Extreme Value Theorem
Using the derivative to find extrema
…and why
Finding maximum and minimum values of a
function, called optimization, is an important
issue in real-world problems.

7. Absolute Extreme Values

8. The Extreme Value Theorem

9. Classifying Extreme Values

10. Local Extreme Values

11. Local Extreme Values

12. Critical Point

13. Stationary Point

14. Example Finding Absolute Extrema

15. Example Finding Extreme Values