Chapter 2  Models of Growth: Rates of Change
 Index

About this Chapter
 Section 2.1 Rates
of Change
 2.1.1 Average Rates of Change: Slopes of Linear Equations
 2.1.2 Average Rates of Change for More General Functions
 2.1.3 Mathematical Notation: The Difference Quotient
 Section Summary
 Exercises
 Problems
 Section 2.2 The Derivative: Instantaneous Rates of Change
 2.2.1 Zooming In: Local Linearity
 2.2.2 Graphical Calculation of Rates of Change
 2.2.3 Algebraic Calculation of Rates of Change
 2.2.4 The Derivative
 2.2.5 Notation and Terminology
 Section Summary
 Exercises
 Problems
 Section 2.3 Symbolic Calculation of Derivatives
 2.3.1 Derivatives of Power Functions: Initial Cases
 2.3.2 Derivatives of Power Functions: General Rules
 Section Summary
 Exercises
 Problems
 Section 2.4 Exponential Functions
 2.4.1 Interest Rates and Exponential Growth
 2.4.2 Derivatives of Exponential Functions
 2.4.3 The
Natural Base
 2.4.4 Derivatives
of More General Exponential Functions
 2.4.5 Symbolic
Derivatives of Exponential Functions: Other Bases
 Section Summary
 Exercises
 Problems
 Section 2.5 Modeling Population Growth
 2.5.1 A Difference Equation and a Differential Equation
 2.5.2 Solutions of the Differential Equation
 2.5.3 Slope Fields
 2.5.4 DifferentialEquationwithInitialValue Problems
 Section Summary
 Exercises
 Problems
 Section 2.6 Logarithms and Representation of Data
 2.6.1 Logarithmic Plots of Data: Natural Base
 2.6.2 Logarithmic Plots of Data: Base 10
 2.6.3 Power Functions and LogLog Plotting
 2.6.4 Finding a Power Model
 Section Summary
 Exercises
 Problems
 Chapter Summary
 Chapter Review
 Concepts and Applications
 Formulas
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