1. Mean Value Theorem
AP Calculus
Ms. Olifer

2. What you’ll learn about
Mean Value Theorem
Physical Interpretation
Increasing and Decreasing Functions
Other Consequences
…and why
The Mean Value Theorem is an important theoretical
tool to connect the average and instantaneous rates of
change.

3. Mean Value Theorem for Derivatives

4. Example Explore the Mean Value Theorem

5. Increasing Function, Decreasing Function

6. Corollary: Increasing and Decreasing Functions

7. Example Determining Where Graphs Rise or Fall

8. Corollary: Functions with f’=0 are Constant

9. Corollary: Functions with the Same Derivative Differ by a Constant