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.

8. Strategy for Solving Related Rate Problems

17. Example A Highway Chase

18. Example A Highway Chase (cont’d)

19. Quick Quiz

20. Quick Quiz

21. Chapter Test

22. Chapter Test

23. Chapter Test

24. Chapter Test

25. Chapter Test

26. Chapter Test Solutions

27. Chapter Test Solutions

28. Chapter Test Solutions

29. Chapter Test Solutions

30. Chapter Test Solutions