Calculus and its applications / Marvin L. Bittinger

Includes index.

Cover -- Title Page -- Copyright Page -- Contents -- Preface -- Prerequisite Skills Diagnostic Test -- Chapter R -- Functions, Graphs, and Models -- R.1 Graphs and Equations -- R.2 Functions and Models -- R.3 Finding Domain and Range -- R.4 Slope and Linear Functions -- R.5 Nonlinear Functions and Models -- R.6 Mathematical Modeling and Curve Fitting -- Chapter Summary -- Chapter Review Exercises -- Chapter Test -- Extended Technology Application Average Price of a Movie Ticket -- Chapter 1 -- Differentiation -- 1.1 Limits: A Numerical and Graphical Approach 1.2 Algebraic Limits and Continuity -- 1.3 Average Rates of Change -- 1.4 Differentiation Using Limits of Difference Quotients -- 1.5 Differentiation Techniques: The Power and Sum-Difference Rules -- 1.6 Differentiation Techniques: The Product and Quotient Rules -- 1.7 The Chain Rule -- 1.8 Higher-Order Derivatives -- Chapter Summary -- Chapter Review Exercises -- Chapter Test -- Extended Technology Application Path of a Baseball: The Tale of the Tape -- Chapter 2 -- Applications of Differentiation -- 2.1 Using First Derivatives to Classify Maximum and Minimum Values and Sketch Graphs 2.2 Using Second Derivatives to Classify Maximum and Minimum Values and Sketch Graphs -- 2.3 Graph Sketching: Asymptotes and Rational Functions -- 2.4 Using Derivatives to Find Absolute Maximum and Minimum Values -- 2.5 Maximum-Minimum Problems -- Business, Economics, and General Applications -- 2.6 Marginals and Differentials -- 2.7 Elasticity of Demand -- 2.8 Implicit Differentiation and Related Rates* -- Chapter Summary -- Chapter Review Exercises -- Chapter Test -- Extended Technology Application Maximum Sustainable Harvest -- Chapter 3 -- Exponential and Logarithmic Functions 3.1 Exponential Functions -- 3.2 Logarithmic Functions -- 3.3 Applications: Uninhibited and Limited Growth Models -- 3.4 Applications: Decay -- 3.5 The Derivatives of ax and log ax -- Application: Annuities -- 3.6 A Business Application: Amortization* -- Chapter Summary -- Chapter Review Exercises -- Chapter Test -- Extended Technology Application The Business of Motion Picture Revenue and DVD Release -- Chapter 4 -- Integration -- 4.1 Antidifferentiation -- 4.2 Antiderivatives as Areas -- 4.3 Area and Definite Integrals -- 4.4 Properties of Definite Integrals 4.5 Integration Techniques: Substitution -- 4.6 Integration Techniques: Integration by Parts -- 4.7 Integration Techniques: Tables -- Chapter Summary -- Chapter Review Exercises -- Chapter Test -- Extended technology Application Business: Distribution of Wealth -- Chapter 5 -- Applications of Integration -- 5.1 Consumer Surplus and Producer Surplus -- 5.2 Integrating Growth and Decay Models -- 5.3 Improper Integrals -- 5.4 Probability -- 5.5 Probability: Expected Value -- The Normal Distribution -- 5.6 Volume -- 5.7 Differential Equations -- Chapter Summary -- Chapter Review Exercises

For one-semester courses in applied calculus.Anticipating and meeting student needsCalculus and Its Applications, Eleventh Edition, remains a best-selling text because of its accessible presentation that anticipates student needs. The writing style is ideal for today's students, providing intuitive explanations that work with the...