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PART 1 A LIBRARY OF ELEMENTARY FUNCTIONS 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 2 Functions and Graphs 2-1 Functions 2-2 Elementary Functions: Graphs and Transformations 2-3 Quadratic Functions 2-4 Exponential Functions 2-5 Logarithmic Functions Chapter 2 Review Review Exercise PART 2 CALCULUS 3 Limits and the Derivative 3-1 Introduction to Limits 3-2 Continuity 3-3 Infinite Limits and Limits at Infinity 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 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 5 Graphing and Optimization 5-1 First Derivative and Graphs 5-2 Second Derivative and Graphs 5-3 L’Hôpital’s Rule 5-4 Curve-Sketching Techniques 5-5 Absolute Maxima and Minima 5-6 Optimization Chapter 5 Review Review Exercise 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 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 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 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 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 B Special Topics B-1 Sequences, Series, and Summation Notation B-2 Arithmetic and Geometric Sequences B-3 Binomial Theorem C Tables Table I Basic Geometric Formulas Table II Integration Formulas Answers Index Applications Index A Library of Elementary Functions Table of Contents
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