Freeman and CompanyNew YorkThis page intentionally left blank CONTENTSChapter 1 Precalculus Review 11.1 Real Numbers, Functions, and Graphs 11.2 Linear and Quadratic Functions 81.3 The Basic Classes of Functions 131.4 Trigonometric Functions 161.5 Technology: Calculators and Computers 23Chapter Review Exercises 26Chapter 2 Limits 312.1 Limits, Rates of Change, and Tangent Lines 312.2 Limits: A Numerical and Graphical Approach 362.3 Basic Limit Laws 452.4 Limits and Continuity 482.5 Evaluating Limits Algebraically 552.6 Trigonometric Limits 592.7 Intermediate Value Theorem 652.8 The Formal Denition of a Limit 68Chapter Review Exercises 72Chapter 3 Differentiation 793.1 Denition of the Derivative 793.2 The Derivative as a Function 903.3 Product and Quotient Rules 993.4 Rates of Change 1053.5 Higher Derivatives 1123.6 Trigonometric Functions 1183.7 The Chain Rule 1233.8 Implicit Differentiation 1323.9 Related Rates 141Chapter Review Exercises 148Chapter 4 Applications of the Derivative 1594.1 Linear Approximation and Applications 1594.2 Extreme Values 1654.3 The Mean Value Theorem and Monotonicity 1734.4 The Shape of a Graph 1804.5 Graph Sketching and Asymptotes 1884.6 Applied Optimization 2024.7 Newtons Method 2164.8 Antiderivatives 221Chapter Review Exercises 228Chapter 5 The Integral 2375.1 Approximating and Computing Area 2375.2 The Denite Integral 2505.3 The Fundamental Theorem of Calculus, Part I 2595.4 The Fundamental Theorem of Calculus, Part II 2665.5 Net or Total Change as the Integral of a Rate 2735.6 Substitution Method 276Chapter Review Exercises 283Chapter 6 Applications of the Integral 2926.1 Area Between Two Curves 2926.2 Setting Up Integrals: Volume, Density, Average Value 3006.3 Volumes of Revolution 3086.4 The Method of Cylindrical Shells 3166.5 Work and Energy 324Chapter Review Exercises 331Chapter 7 The Exponential Function 3387.1 Derivative of bxand the Number e 3387.2 Inverse Functions 3447.3 Logarithms and Their Derivatives 3497.4 Exponential Growth and Decay 3577.5 Compound Interest and Present Value 3627.6 Models Involving y JonesKerry MarsackKatherine SochaJill ZarestkyKenneth ZimmermanW. DRESDENWashington and Lee Universityand additional contributions byArt BelmonteCindy Chang-FrickeBenjamin G. Freeman and Company, 41 Madison Avenue, New York, NY 10010Houndmills, Basingstoke RG21 6XS, EnglandSolutions Manualto accompany Jon RogawskisSingle VariableCALCULUSBRIAN BRADIEChristopher Newport UniversityWith Chapter 12 contributed byGREGORY P.
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Freeman and CompanyISBN-13: 978-0-7167-9866-8ISBN-10: 0-7167-9866-2All rights reservedPrinted in the United States of AmericaW.