3.7 Derivatives of Logarithmic Function Mrs. MacIntyre Ap.Calculus

Rules for Derivatives of Logs Remember

Example 1 Let u= =

Example 2

Example 3 Use laws of log/Ins to differentiate:

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

Example 4 Continued…..

Example 5 Let u=lnx

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

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….

Example 7 Continued…

Example 8

Example 9

Example 10

Example 11

Example 12

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