9781133109488

Brief Calculus: An Applied Approach

Ron Larson

9th Edition

Designed specifically for business, economics, or life/social sciences majors, BRIEF CALCULUS: AN APPLIED APPROACH, Ninth Edition, motivates students while fostering understanding and mastery. The book emphasizes integrated and engaging applications that show students the real-world relevance of topics and concepts. Applied problems drawn from government sources, industry,

2.1

The Derivative and the Slope of a Graph

Exercises

p.88

2.2

Some Rules for Differentiation

Exercises

p.100

2.3

Rates of Changes: Velocity and Marginals

Exercises

p.113

2.4

The Product and Quotient Rules

Exercises

p.124

Quiz Yourself

p.127

2.5

The Chain Rule

Exercises

p.135

2.6

Higher-Order Derivatives

Exercises

p.142

2.7

Implicit Differentiation

Exercises

p.149

2.8

Related Rates

Exercises

p.156

Review Exercises

p.162

Test Yourself

p.166

3.1

Increasing and Decreasing Functions

Exercises

p.175

3.2

Extrema and the First-Derivative Test

Exercises

p.184

3.3

Concavity and the Second-Derivative Test

Exercises

p.193

3.4

Optimization Problems

Exercises

p.201

Quiz Yourself

p.204

3.5

Business and Economics Applications

Exercises

p.212

3.6

Asymptotes

Exercises

p.223

3.7

Curve Sketching: A Summary

Exercises

p.233

3.8

Differentials and Marginal Analysis

Exercises

p.240

Review Exercises

p.246

Test Yourself

p.250

4.1

Exponential Functions

Exercises

p.256

4.2

Natural Exponential Functions

Exercises

p.264

4.3

Derivatives of Exponential Functions

Exercises

p.273

Quiz Yourself

p.275

4.4

Logarithmic Functions

Exercises

p.282

4.5

Derivatives of Logarithmic Functions

Exercises

p.291

4.6

Exponential Growth and Decay

Exercises

p.299

Review Exercises

p.306

Test Yourself

p.310

5.1

Antiderivatives and Indefinite Integrals

Exercises

p.319

5.2

Integration by Substitution and the General Power Rule

Exercises

p.329

5.3

Exponential and Logarithmic Integrals

Exercises

p.336

Quiz Yourself

p.338

5.4

Area and the Fundamental Theorem of Calculus

Exercises

p.348

5.5

The Area of a Region Bounded by Two Graphs

Exercises

p.357

5.6

The Definite Integral as the Limit of a Sum

Exercises

p.364

Review Exercises

p.370

Test Yourself

p.374

7.1

The Three-Dimensional Coordinate System

Exercises

p.425

7.2

Surfaces in Space

Exercises

p.434

7.3

Functions of Several Variables

Exercises

p.441

7.4

Partial Derivatives

Exercises

p.452

7.5

Extrema of Functions of Two Variables

Exercises

p.461

Quiz Yourself

p.464

7.6

Lagrange Multipliers

Exercises

p.470

7.7

Least Squares Regression Analysis

Exercises

p.478

7.8

Double Integrals and Area in the Plane

Exercises

p.486

7.9

Applications of Double Integrals

Exercises

p.494

Review Exercises

p.500

Test Yourself

p.504