1. Derivatives of Logarithmic Functions
Objective: Obtain derivative formulas for logs.

2. Review Laws of Logs Algebraic Properties of Logarithms
Product Property
Quotient Property
Power Property
Change of base

3. Definitions to Remember

4. Example 1
Find dy/dx for each of the following:

5. Example 2 (Try)
Find

6. Example 3 (try)
Find

7. Example 4
Find

8. Example 4
Find
We will use our rules of logs to make this a much easier problem.

9. Example 4
Now, we solve.

10. Logarithmic Differentiation
This is another method that makes finding the derivative of complicated problems much easier.
Find the derivative of

11. Logarithmic Differentiation
Find the derivative of
First, take the natural log of both sides and treat it like example 3.

12. Logarithmic Differentiation
Find the derivative of
First, take the natural log of both sides and treat it like example 3.

13. Logarithmic Differentiation
Find the derivative of

14. Homework
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