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A Modeling Approach to Calculus
D. Brian Walton
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Chapter
5
Continuous Dynamic Models
5.1
An Overview of Calculus
PDF version of Section 5.1
5.2
Introduction to Optimization
PDF version of Section 5.2
5.3
Rates of Change
PDF version of Section 5.3
5.4
The Derivative
PDF version of Section 5.4
5.5
Continuity of Functions
PDF version of Section 5.5
5.6
Limits Involving Infinity
PDF version of Section 5.6
5.7
Limit Rules
PDF version of Section 5.7
5.8
Differentiation
PDF version of Section 5.8
5.9
Derivatives Take Practice
PDF version of Section 5.9
5.10
The Chain Rule
PDF version of Section 5.10
5.11
The Derivative of Exponential Functions
PDF version of Section 5.11
5.12
The Derivatives of Trigonometric Functions
PDF version of Section 5.12
5.13
Implicit Differentiation and Derivatives of Inverse Functions
PDF version of Section 5.13
5.14
Derivatives of Inverse Trigonometric Functions
PDF version of Section 5.14