2. 3.7 Derivatives of Logarithmic Function Mrs. MacIntyre Ap.Calculus

3. Rules for Derivatives of Logs Remember

4. Example 1 Let u= =

5. Example 2

6. Example 3 Use laws of log/Ins to differentiate:

7. Example 4 ln both sides Differentiate both sides Product Rule: 1 st derv 2 nd + 2 nd derv 1st

8. Example 4 Continued…..

9. Example 5 Let u=lnx

10. Example 6 Let u =2+sinx Remember is the same thing as

11. Example 7 Use Rules for ln/logs to break up the problem into smaller easier parts. Know do substitution for each term…. Lets call one term u and one term v….

12. Example 7 Continued…

13. Example 8

14. Example 9

15. Example 10

16. Example 11

17. Example 12

18. Homework Pg 250-251 #3-25 odd 27, 30, 33, 35, 38, 39, 40, 42 Remember “you do homework for you not for me!”-good luck….