1. Chapter 5
Applications of Derivatives
Section 5.6
Related Rates

2. Quick Review

3. Quick Review Solutions

4. What you’ll learn about
Development of a mathematical model
Creation of an equation that relates the variable whose rate of change is known to the variable whose rate of change is sought
Use of Chain Rule to relate the rates of change
Identification of solution
Interpretation of solution
…and why
Related rate problems are at the heart of
Newtonian mechanics; it was essentially to solve
such problems that calculus was invented.

5. Strategy for Solving Related Rate Problems

6. Strategy for Solving Related Rate Problems

7. Example A Highway Chase

8. Example A Highway Chase (cont’d)

9. Quick Quiz for Sections 5.4 – 5.6

10. Quick Quiz for Sections 5.4 – 5.6

11. Quick Quiz for Sections 5.4 – 5.6

12. Quick Quiz for Sections 5.4 – 5.6

13. Quick Quiz for Sections 5.4 – 5.6

14. Quick Quiz for Sections 5.4 – 5.6

15. Chapter Test

16. Chapter Test

17. Chapter Test

18. Chapter Test

19. Chapter Test

20. Chapter Test Solutions

21. Chapter Test Solutions

22. Chapter Test Solutions

23. Chapter Test Solutions

24. Chapter Test Solutions