1. MAT 1234 Calculus I Section 2.5 Part II Chain Rule http://myhome.spu.edu/lauw

2. Part II WebAssign HW 2.5 Part II (Do it early) Extended Power Rule –a special case of the chain rule Higher Derivatives (2.2)

3. Extended Power Rule u

4. u

5. u

6. Example 4

7. Example 5

8. More Examples on Chain Rules

9. Example 6 ( Product Rule, Chain rule, & Power Rule )

10. Example 7 ( Quotient Rule, & Ext. Power Rule )

11. Higher Derivatives

12. Example 8

14. Given a function f(x) which is a function. Higher Derivatives

15. Given a function f’(x) which is a function. Higher Derivatives

16. Given a function f’’(x) which is a function. Higher Derivatives

17. In general, we denote the n-th derivative of f(x) as Higher Derivatives

18. Notations

21. Example 9 Find if

22. Example 10