
最 低 价:¥40.30
定 价:¥51.00
作 者:(美)阿姆斯特朗(Armstrong,B.),(美)戴维斯(Davis,D.) 著
出 版 社:高等教育出版社
出版时间:2004-11-1
I S B N:9787040155587
| Chapter 1 Functions,Models,and Average Rate of Change 1.1 The Coordinate System and Functions 1.2 Introduction to Problem Solving 1.3 Linear Functions and Average Rate of Change on an Interval 1.5 Operations on Functions 1.6 Rational,Radical,and Power Functions 1.7 Exponential Functions 1.8 Logarithmic Functions 1.9 Modeling Data with Functions(Optional Section-Requires Graphing Calculator) Chapter Review Exercises Chapter 1 Project Chapter 2 Limits,Instantaneous Rate of Change,and the Derivative 2.1 Limits 2.2 Limits and Asymptotes 2.3 Problem Solving:Rates of Change 2.4 The Derivative 2.5 Derivatives of Constants,Powers,and Sums 2.6 Derivatives of Products and Quotients 2.7 Continuity and Nondifferentiability Chapter Review Exercises Chapter 2 Project Chapter 3 Applications of the Derivative 3.1 The Differential and Linear Approximations 3.2 Marginal Analysis 3.3 Measuring Rates and Errors Chapter Review Exercises Chapter 3 Project Chapter 4 Additonal Differentiation Techniques 4.1 The Chain Rule 4.2 Derivatives of Logarithmic Functions 4.3 Derivatives of Exponential Functions 4.4 Implicit Differentiation and Related Rates 4.5 Elasticity of Demand Chapter Review Exercises Chapter 4 Project Chapter 5 Further Applications of the Derivative 5.1 First Derivatives and Graphs 5.2 Second Derivatives and Graphs 5.3 Graphical Analysis and Curve Sketching 5.4 Optimizing Functions on a Closed Interval 5.5 The Second Derivative Test and Optimization Chapter Review Exercises Chapter 5 Project Chapter 6 Integral Calculus Chapter 7 Applications of Integral Calculus Chapter 8 Calculus of Several Variables Appendix A Essentials of Algebra Appendix B Calculator Porgrams Appendix C Selected Proofs Appendix D Photo and IIIustration Credits Answers to Odd-Numbered Exercises Index |
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