1. MAT 1221 Survey of Calculus Section 4.5 Derivatives of Logarithmic Functions http://myhome.spu.edu/lauw

2. Expectations Show formula steps For problem 2 Formally answer the question in full sentence Pay attention to the units

3. Natural Logarithmic Functions Log. Functions are defined as the inverse function of the exponential functions.

4. Natural Logarithmic Functions Log. Functions are defined as the inverse function of the exponential functions. In particular, and

5. Natural Logarithmic Functions Log. Functions are defined as the inverse function of the exponential functions. In particular, and Bad Notation: is incorrect since ln is a function not a number

6. Graph

7. Other Properties (You have learned these from a previous class … )

8. Calculator Locate the natural log. function in your calculator. Compute the value of

9. Applications

10. Formula

12. Example 1

13. Remark (Need this later…)

14. Example 2

15. Example 3

16. Example 4

17. Expectations If possible, simplify the functions before taking derivatives. Simplify the answers.