The natural logarithmic function:

Properties of natural logarithmic function

1.

2.

3.

4.  

5.    

6.      (for

7.

8.

9.

10.   (for )

Derivatives of Logarithmic Functions

1.      (for )

2.      (for )

3.

4.

5.

6.

Example 1 (formula 3):

Example 2 (formula 4):

Example 3 (formula 5):

Example 4 (formula 6):

Logarithmic Differentiation

Use logarithmic differentiation to differentiate the function .

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