1. 1 The Chain Rule Section 2.4

2. 2 After this lesson, you should be able to: Find the derivative of a composite function using the Chain Rule. Find the derivative of a function using the General Power Rule. Simplify the derivative using algebra. Find the derivative of a trigonometric function using the Chain Rule.

3. 3 The Chain Rule To find the derivative of the composition of functions. If f(u) is a differentiable function of u and u = g(x) is a differentiable function of x, then y = f(g(x)) is a differentiable function of x and or,

4. 4 Extended Power Rule (power rule) (extended power rule)

5. 5 Example Example*: Find the derivative

6. 6 Example

7. 7

8. 8 Using the Chain Rule w/ the Quotient Rule

9. 9 Example

10. 10 Example

11. 11 Example

12. 12 Example

13. 13 Example Find the derivative of and

14. 14 Example

15. 15 More Trig Derivatives…

16. 16 Example Using the chain rule twice.

17. 17 Homework Section 2.4 page 137 #7-27 odd, 41-57 odd, 61, 67, 71, 73, 85, 111