1. 5.1 (Part I): The Natural Logarithmic Function and Differentiation
Mt. Rushmore, South Dakota
Greg Kelly, Hanford High School, Richland, Washington
Photo by Vickie Kelly, 2007

2. Objectives
Develop and use properties of the natural logarithmic function.
Understand the definition of the number e.
Find derivatives of functions involving the natural logarithmic function.

3. How do you evaluate
The power rule doesn't work!

4. The natural logarithmic function is defined by:

7. Logarithmic Properties

8. Examples:

9. Common logarithm:
10 to what power is 1000?

10. Natural Logarithm: e is the number such that
irrational number (like π)

11. e to what power is 2 ?
e to what power is e?

16. you can use log properties to simplify first!OR
you can use log properties to simplify first!

18. Homework 5.1 (page 321) #7-10 11-15 odd (don't sketch) 19-57 odd
(skip #35 and 43)