Solution Manual for Brief Calculus & Its Applications, 13/E 13th Edition Larry J. Goldstein, David C. Lay, David I. Schneider, Nakhle H. Asmar digital download immediately after payment is complete.
Product details:
- ISBN-10 : 0321848837
- ISBN-13 : 978-0321848833
- Author: Larry Goldstein; David Schneider
This is the brief version of Calculus and Its Applications, Thirteenth Edition, containing chapters 1—9. Calculus and Its Applications, Thirteenth Edition is a comprehensive, yet flexible, text for students majoring in business, economics, life science, or social sciences. The authors delve into greater mathematical depth than other texts while motivating students through relevant, up-to-date, applications drawn from students’ major fields of study. The authors motivate key ideas geometrically and intuitively, providing a solid foundation for the more abstract treatments that follow. Every chapter includes a large quantity of exceptional exercises—a hallmark of this text–that address skills, applications, concepts, and technology. The Thirteenth Edition includes updated applications, exercises, and technology coverage. The authors have also added more study tools, including a prerequisite skills diagnostic test and a greatly improved end-of-chapter summary, and made content improvements based on user reviews.
Table Of Contents:
Preface vii Prerequisite Skills Diagnostic Test Introduction xx
0
Functions 0.1 0.2 0.3 0.4 0.5 0.6
1
1
Functions and Their Graphs
1
Some Important Functions
11
The Algebra of Functions
19
Zeros of Functions—The Quadratic Formula and Factoring Exponents and Power Functions
24
32
Functions and Graphs in Applications 40 Chapter Summary and Chapter Review Exercises
50
The Derivative 1.1 1.2 1.3 *1.4 *1.5 1.6 1.7 1.8
2
xviii
56
The Slope of a Straight Line
57
The Slope of a Curve at a Point The Derivative and Limits
72
Limits and the Derivative
82
66
Differentiability and Continuity
91
Some Rules for Differentiation
97
More about Derivatives
104
The Derivative as a Rate of Change 112 Chapter Summary and Chapter Review Exercises
123
Applications of the Derivative 2.1 2.2 2.3 2.4 2.5 *2.6 *2.7
Describing Graphs of Functions
131 131
The First- and Second-Derivative Rules
141
The First- and Second-Derivative Tests and Curve Sketching Curve Sketching (Conclusion) Optimization Problems
148
158
163
Further Optimization Problems
170
Applications of Derivatives to Business and Economics 178 Chapter Summary and Chapter Review Exercises 186
*These sections are optional in the sense that they are not prerequisites for later material.
iii
iv
CONTENTS
3
Techniques of Differentiation 3.1 3.2 *3.3
4
202
Implicit Differentiation and Related Rates 209 Chapter Summary and Chapter Review Exercises
218
Exponential Functions
222
The Exponential Function ex
226
Differentiation of Exponential Functions The Natural Logarithm Function The Derivative of ln x
222
232
237
241
Properties of the Natural Logarithm Function 246 Chapter Summary and Chapter Review Exercises 250
Exponential Growth and Decay Compound Interest
254
254
265
Applications of the Natural Logarithm Function to Economics Further Exponential Models 278 Chapter Summary and Chapter Review Exercises
Antidifferentiation
292
293
The Definite Integral and Net Change of a Function The Definite Integral and Area under a Graph Areas in the xy-Plane
302
309
319
Applications of the Definite Integral 332 Chapter Summary and Chapter Review Exercises
340
…
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