1. MAT 1226 Calculus II Section 6.2* The Natural Logarithmic Function http://myhome.spu.edu/lauw

2. Homework and … WebAssign HW 6.2* (19 problems, WA average=122 min.) Quiz: 6.2*

3. What’s First?

4. Preview

6. In the beginning… In the sequence 6.2*-6.4*, we construct the general exponential and log. function last. For example, the function is undefined at this point.

7. To save time... We will skip some of the obvious algebraic steps

8. Definition

9. Geometric Meaning

11. Properties

12. Example 1

13. Property (3)

17. Example 2

18. Example 3

19. Example 4

20. Direct differentiation Take the log. first and then differentiate (Log. Differentiation)

21. Example 4

22. Example 5

26. Property (8)

27. Example 6

28. Example 7

29. Formula