MAT 1226 Calculus II Section 6.2* The Natural Logarithmic Function

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

What’s First?

Preview

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.

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

Definition

Geometric Meaning

Properties

Example 1

Property (3)

Example 2

Example 3

Example 4

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

Example 4

Example 5

Property (8)

Example 6

Example 7

Formula