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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