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Prerequisites

          Exponential Functions, Logarithmic Functions and

               the number e

          Comparing Two Numbers

1

          Definition of a Limit

          Evaluating Limits - Substitution

          Indeterminate Forms

          Limits at Infinity

2

One-Sided Limits and Continuity

3

          The Limit Definition of the Derivative

          Four Step Process for Finding the Derivative

          Example 2

4

          Derivatives of the Exponential Function and the

               Natural Log Function

5

The Product and Quotient Rules

6

          The Chain Rule

          The Chain Rules for Exponential and Logarithmic

               Functions

          Chain Rule with Product or Quotient Rule:

               Examples 9-10

          Chain Rule with Product or Quotient Rule:

               Examples 11-12

4,5,6,7

          Example 1

          Example 2

          Example 3

          Example 4

          Example 5

          Example 6

          Example 7

          Example 8

          Example 9

          Example 10

          Example 11

          Example 12

8

          Equations of Tangent Lines

          Horizontal Tangent Lines, etc.

          Rates of Change - Example 7

          Rates of Change - Example 8

          Rates of Change - Example 9

          Rates of Change - Example 10

9

          Marginal Cost

          Marginal Revenue and Marginal Profit

          Decreasing:

          Critical Points, Relative Extrema and the First

          Derivative Test

          Finding Concavity

          Finding Inflection Points from the Graph of the

               Second Derivative

          Finding Inflection Points by Finding the Second

               Derivative - Example 12

          Finding Inflection Points by Finding the Second

               Derivative - Example 13

          Finding Inflection Points by Finding the Second

               Derivative - Example 14

          Second Derivative Test

               Example 15

               Example 16

Absolute Extrema

Optimization

Applications with Exponential Functions

Antiderivatives