1. 3.4 Velocity and Other Rates of Change

2. What you’ll learn about Instantaneous Rates of change Motion Along a Line Sensitivity to Change Derivatives in Economics … and why Derivatives give the rates at which things change in the world.

3. Instantaneous Rates of Change

4. Example Instantaneous Rates of Change

5. Motion Along a Line

6. Instantaneous Velocity

7. Speed

8. Acceleration

9. Free-fall Constants (Earth)

10. Example Finding Velocity

11. Sensitivity to Change When a small change in x produces a large change in the value of a function f(x), we say that the function is relatively sensitive to changes in x. The derivative f’(x) is a measure of this sensitivity.

12. Derivatives in Economics

13. Example Derivatives in Economics