包邮微积分及其在商业.经济.生命科学及社会科学中的应用-(影印版)(第9版)

PART ONE A Library of.Elementary Functions1CHAPTER 1. A Beginning Library of Elementary Functions31-1 Functions 31-2 Elementary Functions: Graphs and Transformations231-3 Linear Functions and Straight Lines361-4 Quadratic Functions53Important Terms and Symbols 68Review Exercise69Group Activity 1: Introduction to Regression Analysis74Group Activity 2: Mathematical Modeling in Business75CHAPTER 2Additional Elementary Functions792-1 Polynomial and Rational Functions792-2 Exponential Functions962-3Logarithmic FUnctions110Important Terms and Symbols 122Review Exercise122Group Activity 1: Comparing the Growth of Exponential andPolynomial Functions, and Logarithmic and Root Functions125Group Activity 2: Comparing Regression Models125PART TWO Calculus 129CHAPTER 3The Derivative1313-1 Rate of Change and Slope1323-2Limits1443-3 The Derivative1623-4 Derivatives of Constants,Power Forms, and Sums1753-5 Derivatives of Products and Quotients1893-6 Chain Rule: Power Form1973-7 Marginal Analysis in Business and Economics204Important Terms and Symbols216Summary of Rules of Differentiation 216Review Exercise217Group Activity 1: Minimal Average Cost221Group Activity 2: Numerical Differentiation on a GraphingUtility 222CHAPTER 4Graphing and Optimization2254-1 Continuity and Graphs2264-2 First Derivative and Graphs2424-3 Second Derivative and Graphs2594-4 Curve Sketching Techniques: Unified and Extended2754-5 Optimization; Absolute Maxima and Minima292Important Terms and Symbols,:.308Review Exercise309Group Activity 1:Maximizing Profit 313Group Activity 2: Minimizing Construction Costs313CHAPTER 5Additional Derivative Topics 3155-1 The Constant e and Continuous Compound Interest3155-2 Derivatives of Logarithmic and Exponential Functions3225-3 Chain Rule: General Form3345-4 Implicit Differentiation3455-5 Related Rates352Important Terms and Symbols358Additional Rules of Differentiation 358Review Exercise358Group Activity 1 : Elasticity of Demand360Group Activity 2: Point of Diminishing Returns361CHAPTER 6 Integration3636-1 Antiderivatives and Indefinite Integrals3636-2 Integration by Substitution3786-3 Differential Equations; Growth and Decay3906-4 Geometric-Numeric Introduction to the Definite Integral4016-5 Definite Integral as a Limit of a Sum; Fundamental Theorem of Calculus417Important Terms and Symbols 435Integration Formulas and Properties436Review Exercise436Group:Activity 1: Simpson's Rule 440Group Activity 2: Bell-Shaped Curves443CHAPTER 7 Additional Integration, Topics4457-1 Area Between Curves 4457-2 Applications in Business and,Economics4567-3Integration by Parts 4697-4 Integration Using Tables 477Important Terms and Symbols484Review Exercise485Group Activity 1: Analysis of Income Concentration fromRaw Data 487Group Activity 2: Grain Exchange488CHAPTER 8 Multivariable Calculus4898-1 Functions of Several Variables 4898-2 Partial Derivatives 5008-3Maxima and Minima 5098-4 Maxima and Minima Using Lagrange Multipliers5188-5 Method of Least Squares5288-6 Double Integrals over Rectangular Regions539Important Terms and Symbols549Review Exercise550Group Activity 1: City Planning 553Group Activity 2: Numerical Integration of MultivariableFunctions554CHAPTER 9 Trigonometric Functions5579-1 Trigonometric Functions Review5589-2 Derivatives of Trigonometric Functions5669-3 Integration of Trigonometric Functions572Important Terms and Symbols577Review Exercise578Group Activity 1: Seasonal Business Cycles579Group Activity 2: Heating Degree Days580APPENDIX A Basic Algebra Review581Self-Test on Basic Algebra581A-1 Sets 583A-2 Algebra and Real Numbers589A-3 Operations on Polynomials596A-4 Factoring Polynomials 603A-5 Operations on Rational Expressions609A-6Integer Exponents and Scientific Notation 615A-7 Rational Exponents and Radicals621A-8 Linear Equations and Inequalities in One Variable628A-9 Quadratic Equations638APPENDIX B Special Topics649B-1 Sequences, Series, and Summation Notation649B-2 Arithmetic and Geometric Sequences656B-3 The Binomial Theor