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Part One: A Library of Elementary Functions Chapter 1: Linear Equations and Graphs 1-1 Linear Equations and Inequalities 1-2 Graphs and Lines 1-3 Linear Regression Chapter 1 Review Review Exercise Chapter 2: Functions and Graphs 2-1 Functions 2-2 Elementary Functions: Graphs and Transformations 2-3 Quadratic Functions 2-4 Polynomial and Rational Functions 2-5 Exponential Functions 2-6 Logarithmic Functions Chapter 2 Review Review Exercise Part Two: Calculus Chapter 3: Limits and the Derivative 3-1 Introduction to Limits 3-2 Infinite Limits and Limits at Infinity 3-3 Continuity 3-4 The Derivative 3-5 Basic Differentiation Properties 3-6 Differentials 3-7 Marginal Analysis in Business and Economics Chapter 3 Review Review Exercise Chapter 4: Additional Derivative Topics 4-1 The Constant e and Continuous Compound Interest 4-2 Derivatives of Exponential and Logarithmic Functions 4-3 Derivatives of Products and Quotients 4-4 The Chain Rule 4-5 Implicit Differentiation 4-6 Related Rates 4-7 Elasticity of Demand Chapter 4 Review Review Exercise Chapter 5: Graphing and Optimization 5-1 First Derivative and Graphs 5-2 Second Derivative and Graphs 5-3 L'Hopital's Rule 5-4 Curve Sketching Techniques 5-5 Absolute Maxima and Minima 5-6 Optimization Chapter 5 Review Review Exercise Chapter 6: Integration 6-1 Antiderivatives and Indefinite Integrals 6-2 Integration by Substitution 6-3 Differential Equations; Growth and Decay 6-4 The Definite Integral 6-5 The Fundamental Theorem of Calculus Chapter 6 Review Review Exercise Chapter 7: Additional Integration Topics 7-1 Area Between Curves 7-2 Applications in Business and Economics 7-3 Integration by Parts 7-4 Integration Using Tables Chapter 7 Review Review Exercise Chapter 8: Multivariable Calculus 8-1 Functions of Several Variables 8-2 Partial Derivatives 8-3 Maxima and Minima 8-4 Maxima and Minima Using Lagrange Multipliers 8-5 Method of Least Squares 8-6 Double Integrals Over Rectangular Regions 8-7 Double Integrals Over More General Regions Chapter 8 Review Review Exercise Chapter 9: Trigonometric Functions 9-1 Trigonometric Functions Review 9-2 Derivatives of Trigonometric Functions 9-3 Integration of Trigonometric Functions Chapter 9 Review Review Exercise Appendixes Appendix A: Basic Algebra Review Self-Test on Basic Algebra A-1 Algebra and Real Numbers A-2 Operations on Polynomials A-3 Factoring Polynomials A-4 Operations on Rational Expressions A-5 Integer Exponents and Scientific Notation A-6 Rational Exponents and Radicals A-7 Quadratic Equations Appendix B: Special Topics B-1 Sequences, Series, and Summation Notation B-2 Arithmetic and Geometric Sequences B-3 Binomial Theorem Appendix C: Tables Table I Basic Geometric Formulas Table II Integration Formulas Answers Index Applications Index A Library of Elementary Functions Table of Contents
Get Calculus for Business, Economics, Life Sciences and Social Sciences, 12th Edition by Raymond A. Barnett, Merritt College Michael R. Ziegler, Marquette University Karl E. Byleen, Marquette University
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