	Preface	xi
PART ONE	A LIBRARY OF ELEMENTARY FUNCTIONS	1
CHAPTER 1	A Beginning Library of Elementary Functions	3
	1-1 Introduction to Graphing Utilities	3
	1-2 Functions	18
	1-3 Elementary Functions: Graphs and Transformations	35
	1-4 Linear Functions and Straight Lines	47
	1-5 Quadratic Functions	64
	Chapter 1 Group Activity: Mathematical Modeling in Business	79
	Chapter 1 Review	80
CHAPTER 2	Additional Elementary Functions	87
	2-1 Polynomial and Rational Functions	87
	2-2 Exponential Functions	102
	2-3 Logarithmic Functions	116
	2-4 Modeling Data Using Regression Techniques	129
	Chapter 2 Group Activity: Profit and Loss Analysis	137
	Chapter 2 Review	138
PART TWO	CALCULUS	143
CHAPTER 3	The Derivative	145
	3-1 Rate of Change and Slope	146
	3-2 Limits	160
	3-3 The Derivative	183
	3-4 Derivatives of Constants, Power Forms, and Sums	199
	3-5 Derivatives of Products and Quotients	214
	3-6 Chain Rule: Power Form	223
	3-7 Marginal Analysis in Business and Economics	233
	Chapter 3 Group Activity: Minimal Average Cost	245
	Chapter 3 Review	247
CHAPTER 4	Graphing and Optimization	253
	4-1 Continuity and Graphs	254
	4-2 First Derivative and Graphs	273
	4-3 Second Derivative and Graphs	293
	4-4 Curve Sketching Techniques: Unified and Extended	310
	4-5 Optimization; Absolute Maxima and Minima	331
	Chapter 4 Group Activity: Maximizing Profit	345
	Chapter 4 Review	346
CHAPTER 5	Additional Derivative Topics	351
	5-1 The Constant e and Continuous Compound Interest	351
	5-2 Derivatives of Logarithmic and Exponential Functions	359
	5-3 Chain Rule: General Form	373
	5-4 Implicit Differentiation	385
	5-5 Related Rates	393
	Chapter 5 Group Activity: Elasticity of Demand	401
	Chapter 5 Review	402
CHAPTER 6	Integration	405
	6-1 Antiderivatives and Indefinite Integrals	405
	6-2 Integration by Substitution	421
	6-3 Differential Equations—Growth and Decay	434
	6-4 Geometric–Numeric Introduction to the Definite Integral	447
	6-5 Definite Integral as a Limit of a Sum; Fundamental Theorem of Calculus	464
	Chapter 6 Group Activity: Simpson's Rule	488
	Chapter 6 Review	458
CHAPTER 7	Additional Integration Topics	499
	7-1 Area Between Curves	499
	7-2 Applications in Business and Economics	511
	7-3 Integration by Parts	525
	7-4 Integration Using Tables	532
	Chapter 7 Group Activity: Analysis of Income Concentration from Raw Data	540
	Chapter 7 Review	541
CHAPTER 8	Multivariable Calculus	545
	8-1 Functions of Several Variables	545
	8-2 Partial Derivatives	556
	8-3 Maxima and Minima	565
	8-4 Maxima and Minima Using Lagrange Multipliers	575
	8-5 Method of Least Squares	586
	8-6 Double Integrals Over Rectangular Regions	598
	Chapter 8 Group Activity: Double Integrals Over More
	General Regions	609
	Chapter 8 Review	610
CHAPTER 9	Differential Equations	615
	9-1 Basic Concepts	615
	9-2 Separation of Variables	627
	9-3 First-Order Linear Differential Equations	640
	Chapter 9 Group Activity: Euler's Method	653
	Chapter 9 Review	657
CHAPTER 10	Trigonometric Functions	661
	10-1 Trigonometric Functions Review	662
	10-2 Derivatives of Trigonometric Functions	673
	10-3 Integration of Trigonometric Functions	678
	Chapter 10 Group Activity: Seasonal Business Cycles	684
	Chapter 10 Review	684
APPENDIX A	Tables	687
	Table I Basic Geometric Formulas	687
	Table II Integration Formulas	690
	Answers	A-1
	Index	I-1
	Applications Index	Inside back cover

Problems or Suggestions?
Order Information
[ Legal Statement ]