1. Sec 3.6: DERIVATIVES OF LOGARITHMIC FUNCTIONS

2. Sec 3.6: DERIVATIVES OF LOGARITHMIC FUNCTIONS
Example:

3. Sec 3.6: DERIVATIVES OF LOGARITHMIC FUNCTIONS
Example:

4. Sec 3.6: DERIVATIVES OF LOGARITHMIC FUNCTIONS
Example:
Example:

5. Sec 3.6: DERIVATIVES OF LOGARITHMIC FUNCTIONS
Prop:
Example:

6. Sec 3.6: DERIVATIVES OF LOGARITHMIC FUNCTIONS
Example:

7. Sec 3.6: DERIVATIVES OF LOGARITHMIC FUNCTIONS
Example:

8. Sec 3.6: DERIVATIVES OF LOGARITHMIC FUNCTIONS
The calculation of derivatives of complicated functions involving products, quotients, or powers can often be simplified by taking logarithms. The method used in the following example is called logarithmic differentiation.

9. Sec 3.6: DERIVATIVES OF LOGARITHMIC FUNCTIONS
Example:
If variables appear in the base and in the exponent : logarithmic differentiation can be used in this case

10. Sec 3.6: DERIVATIVES OF LOGARITHMIC FUNCTIONS
THE NUMBER e AS A LIMIT
Example:

11. Sec 3.6: DERIVATIVES OF LOGARITHMIC FUNCTIONS

12. Sec 3.6: DERIVATIVES OF LOGARITHMIC FUNCTIONS