Analyzing Functions Using Derivatives Unit

PROGRESSIVE MATHEMATICS INITIATIVE® (PMI®)

Table of Contents

Chapter 1: Determining Function Behavior
Extreme Values - Graphically
Critical Values - Algebraically
Extreme Values - Algebraically (1st Derivative Test)
Extreme Value Theorem
Concavity - Graphically
Concavity - Algebraically
The 2nd Derivative Test

Chapter 2: Sketching Curves and Applications of Function Analysis
Connecting Graphs of f, f’ and f”
Curve Sketching
Analyzing Implicit Functions
Roller’s Theorem
Mean Value Theorem
Newton’s Method
Optimization

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