# Calculus and Its Applications: Pearson New International Edition

## 10e édition

#### Spécifications

Éditeur
Pearson Education
Édition
10
Auteur
David J. Ellenbogen, Marvin Bittinger, Scott Surgent,
Langue
anglais
MAT005000 MATHEMATICS / Calculus > MAT034000 MATHEMATICS / Mathematical Analysis
BIC subject category (UK)
PBK Calculus & mathematical analysis
Code publique Onix
05 Enseignement supérieur
Date de première publication du titre
01 novembre 2013
Subject Scheme Identifier Code
Classification thématique Thema: Calcul
Classification thématique Thema: Calcul et analyse mathématique

#### VitalSource eBook

Date de publication
01 novembre 2013
ISBN-13
9781292037066
Ampleur
Nombre de pages de contenu principal : 808
Code interne
1292037067
Protection technique e-livre
DRM

#### Sommaire

Preface

Diagnostic Test

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 Funtions 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

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

2. Applications of Differentiation

2.1 Using First Derivatives to Find Maximum and Minimum Values and Sketch Graphs

2.2 Using Second Derivatives to Find 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 and Economics Applications

2.6 Marginals and Differentials

2.7 Implicit Differentiation and Related Rates

Chapter Summary

Chapter Review Exercises

Chapter Test

Extended Technology Application: Maximum Sustainable Harvest

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 logax

3.6 An Economics Application: Elasticity of Demand

Chapter Summary

Chapter Review Exercises

Chapter Test

Extended Technology Application: Business: Motion Picture and DVD Revenue

4. Integration

4.1 Antidifferentiation

4.2 Antiderivatives

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

5. Applications of Integration

5.1 An Economics Application: Consumer Surplus and Producer Surplus

5.2 Applications of the Integration of 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

Chapter Test

Extended Technology Application: Curve Fitting and the Volume of a Bottle of Soda

6. Functions of Several Variables

6.1 Functions of Several Variables

6.2 Partial Derivatives

6.3 Maximum-Minimum Problems

6.4 An Application: The Least-Squares Technique

6.5 Constrained Optimization

6.6 Double Integrals

Chapter Summary

Chapter Review Exercises

Chapter Test

Extended Technology Application: Minimizing Employees' Travel Time in a Building

Cumulative Review

Tables