Table of Contents
APEX Calculus
Contributing Authors
Preface
Calculus I
1
Limits
2
Derivatives
2.0
Chapter Prerequisites
2.1
Instantaneous Rates of Change: The Derivative
2.2
Interpretations of the Derivative
2.3
Basic Differentiation Rules
2.4
The Product and Quotient Rules
2.5
The Chain Rule
2.6
Implicit Differentiation
3
The Graphical Behavior of Functions
4
Applications of the Derivative
5
Integration
6
Applications of Integration
Calculus II
Calculus III
Appendices
Calculus I
Chapter Summary
2.0
Chapter Prerequisites
Chapter 2
Derivatives
2.0
Chapter Prerequisites
Chapter Introduction
2.1
Instantaneous Rates of Change: The Derivative
2.2
Interpretations of the Derivative
2.3
Basic Differentiation Rules
2.4
The Product and Quotient Rules
2.5
The Chain Rule
2.6
Implicit Differentiation