1. Chapter 3.6 Chain Rule

2. Objectives Differentiate composite functions using the Chain Rule. Find the slopes of parameterized curves.

3. Learning Target

4. Standard G-C.4Construct a tangent line from a point outside a given circle to the circle.

5. Overview Derivative of a Composite Function “Outside –Inside” Rule Repeated use of the Chain Rule Slopes of Parameterized Curve s Power Chain Rule

6. Derivatives of Composite Functions

8. Chain Rule

9. Example 1

10. Example 1 continued

11. Exercise 1

12. Example 2 “Outside-Inside” Rule

13. “Outside-Inside” Rule

14. Exercise 2

15. Example 3 Repeating the Chain Rule

16. Exercise 3

17. Parameterized Curves

19. Example 4 Differentiating with a Parameter

20. Exercise 4

21. Example 5 Power Chain Rule

22. Exercise 5

23. Example 6 Finding Slope

25. Exercise 6

26. Example 7 Radians vs Degrees

27. Homework p 153: 3-69 multiples of 3