Derivatives of Exponential Functions

Natural Exponential Function

If , then

Properties:

xxf ln)( xexf )(1

Solving Exponential – Natural Log Functions:

Rewrite one as the other with base e

Example: Solve 61ln 2 x

Example: Find the derivative

2

1

xexf

3.

4.

Differentiate the following functions:

1.

2.

3.

4.

Use logarithmic differentiation to find

Solution:

Let’s Practice!!!Differentiate each of the following:

1.

2.

3.

4.