Calculus for Business, Economics, and the Social and Life Sciences, Brief Edition Book

Preface

Calculator Introduction

1 Functions, Graphs, and Limits

1.1 Functions

1.2 The Graph of a Function

1.3 Linear Functions

1.4 Functional Models

1.5 Limits

1.6 One-Sided Limits and Continuity

Chapter Summary

Important Terms, Symbols, and Formulas

Checkup for Chapter 1

Review Problems

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2 Differentiation: Basic Concepts

2.1 The Derivative

2.2 Techniques of Differentiation

2.3 Product and Quotient Rules; Higher Order Derivatives

2.4 The Chain Rule

2.5 Marginal Analysis and Approximations Using Increments

2.6 Implicit Differentiation and Related Rates

Chapter Summary

Important Terms, Symbols, and Formulas

Checkup for Chapter 2

Review Problems

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3 Additional Applications of the Derivative

3.1 Increasing and Decreasing Functions; Relative Extrema

3.2 Concavity and Points of Inflection

3.3 Curve Sketching

3.4 Optimization

3.5 Additional Applied Optimization

Chapter Summary

Important Terms, Symbols, and Formulas

Checkup for Chapter 3

Review Problems

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4 Exponential and Logarithmic Functions

4.1 Exponential Functions

4.2 Logarithmic Functions

4.3 Differentiation of Logarithmic and Exponential Functions

4.4 Additional Exponential Models

Chapter Summary

Important Terms, Symbols, and Formulas

Checkup for Chapter 4

Review Problems

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5 Integration

5.1 Antidifferentiation: The Indefinite Integral

5.2 Integration by Substitution

5.3 The Definite Integral and the Fundamental Theorem of Calculus

5.4 ApplyingDefinite Integration: Area Between Curves and Average Value

5.5 Additional Applications to Business and Economics

5.6 Additional Applications to the Life and Social Sciences

Chapter Summary

Important Terms, Symbols, and Formulas

Checkup for Chapter 5

Review Problems

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6 Additional Topics in Integration

6.1 Integration by Parts; Integral Tables

6.2 Introduction to Differential Equations

6.3 Improper Integrals; Continuous Probability

6.4 Numerical Integration

Chapter Summary

Important Terms, Symbols, and Formulas

Checkup for Chapter 6

Review Problems

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7 Calculus of Several Variables

7.1 Functions of Several Variables

7.2 Partial Derivatives

7.3 Optimizing Functions of Two Variables

7.4 The Method of Least-Squares

7.5 Constrained Optimization: The Method of Lagrange Multipliers

7.6 Double Integrals

Chapter Summary

Important Terms, Symbols, and Formulas

Checkup for Chapter 7

Review Problems

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Appendix A: Algebra Review

A.1 A Brief Review of Algebra

A.2 Factoring Polynomials and Solving Systems of Equations

A.3 Evaluating Limits with L'Hôpital's Rule

Appendix Summary

Important Terms, Symbols, and Formulas

Review Problems

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Tables

I Powers of e

II The Natural Logarithm (Base e)

Text Solutions

Answers to Odd-Numbered Problems, Chapter Checkup Problems, and Chapter Review Problems

Index