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4.1 | 4.2 | 4.3 | 4.4 | 4.5 | 4.6 | 4.7 | 4.8 | 4.9

Chapter 4 - Contents

Section 4.1 - Maximum and Minimum Values
Notes Topics
Section 4.1 Slides Absolute Maximum and Minimum Pictures
  Local Maximum and Minimum Pictures
  Extreme Value Theorem
  Calculus Steps for Finding Absolute Extrema
  Example 1- Max/Min Values
  Example 2- Max/Min Values
Section 4.2 - Mean Value Theorem
Notes Topics
Section 4.2 notes Mean Value Theorem and Rolle's Theorem
  Pictures of Rolle's MV Theorems
  Consequences of the Mean Value Theorem
  Example - Finding c for MV Theorem
  Example - Exactly One Real Root
  Example - Growth of f
Section 4.3 - How Derivatives Affect the Shape of a Graph
Notes Topics
Section 4.3 - Slides What Does f' Say About the Graph of f?
  Example - First Derivative Analysis
  What Does f" Say About the Graph of f?
  Example - Second Derivative Analysis
  Example - Graphing with Derivative Analysis
Section 4.4 - Indeterminate Forms and L'Hospital's Rule
Notes Topics
Section 4.4 - Notes L'Hospital's Rule
  Using L'Hospital's Rule
  L'H. Examples
  Indeterminate Forms
  Another L'H. Example (1)
  Another L'H. Example (2)
Section 4.5 - Summary of Curve Sketching
Notes Topics
Section 3.5 - Notes Curve Sketching with Calculus Techniques
  Slant Asymptotes
  Checklist for Curve Sketching
  Graphing Example 1
  Graphing Example 1 (concluded)
  Graphing Example 2
  Graphing Example 2 (concluded)
Section 4.6 - This section omitted
Section 4.7 - Optimization Problems
Notes Topics
Section 4.7 - Notes Tests for Absolute Max/Min
  Example 1
  Example 1 - continued
  Example 1 - concluded
  Example 2 - Minimizing Distance
  Example 2 - concluded
Section 4.8 - This section omitted
Section 4.9 - Newton's Method
Section 4.9 - Notes About Newton's Method
  Newton's Method Formula for xn+1
  Example - Newton's Method
  Comments on Newton's Method
Section 4.10 - Antiderivatives
Notes Topics
Section 4.11 - Notes Antiderivatives
  Examples of General Antiderivatives F(x)
  More Antiderivative Examples
  More Examples (1)
  More Examples (2)
  Vertical Motion
  Example - Vertical Motion

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