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Home > SparkNotes > Math Study Guides > The Derivative

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Calculus AB: Applications of the Derivative

Table of Contents

Preview of Applications of the Derivative

Summary and Analysis

Rates of Change and Applications to Motion

Problems for "Rates of Change and Applications to Motion"

Related Rates Problems

Problems for "Related Rates"

Absolute and Local Extrema

Problems for "Absolute and Local Extrema"

The Mean Value Theorem

Problems for "The Mean Value Theorem"

Using the First Derivative to Analyze Functions

Problems from "Using the First Derivative to Analyze Functions"

Using the Second Derivative to Analyze Functions

Problems for "Using the Second Derivative to Analyze Functions"

Vertical and Horizontal Asymptotes

Problems for "Vertical and Horizontal Asymptotes"

Curve Sketching

Problems for "Curve Sketching"

Problems for "Optimization"

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