Exponential Functions: (lesson 3 of 3)

## Logarithmic Functions

### 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
.

.

## Random Quote

If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is.

John Louis von Neumann