Chapter 4 The Mean Value Theorem and Applications

Section 4.1 The Mean Value Theorem

The Mean Value Theorem

Section 4.2 Increasing and Decreasing Functions

Increasing and Decreasing Functions

Section 4.3 Local Extreme Values

Local Extreme Values

Section 4.4 Endpoint and Absolute Extreme Values

Endpoint and Absolute Extreme Values

Section 4.5 Some Max-Min Problems

Some Max-Min Problems

Section 4.6 Concavity and Points of Inflection

Concavity and Points of Inflection

Section 4.7 Vertical and Horizontal Asymptotes; Vertical Tangents and Cusps

Vertical and Horizontal Asymptotes

Vertical Tangents; Vertical Cusps

Section 4.8 Some Curve Sketching

Some Curve Sketching