9781337275347

Calculus

Ron Larson

11th Edition

Larson/Edwards' CALCULUS, 11th Edition, expertly combines the printed textbook and technology to deliver everything you need to master the material and pass the class. Stepped-out solution videos with instruction are available at CalcView.com for selected exercises throughout the text, and the website CalcChat.com presents free solutions to all of the odd-numbered exercise

2-1

The Derivative and the Tangent Line Problem

Exercises

p.107

2-2

Basic Differentiation Rules and Rates of Change

Exercises

p.118

2-3

Product and Quotient Rules and Higher-Order Derivatives

Exercises

p.129

2-4

The Chain Rule

Exercises

p.140

2-5

Implicit Differentiation

Exercises

p.149

2-6

Related Rates

Exercises

p.157

Review Exercises

p.161

Problem Solving

p.163

3-1

Extrema on an Interval

Exercises

p.171

3-2

Rolle's Theorem and the Mean Value Theorem

Exercises

p.178

3-3

Increasing and Decreasing Functions and the First Derivative Test

Exercises

p.187

3-4

Concavity and the Second Derivative Test

Exercises

p.196

3-5

Limits and Infinity

Exercises

p.206

3-6

A Summary of Curve Sketching

Exercises

p.215

3-7

Optimization Problems

Exercises

p.224

3-8

Newton's Method

Exercises

p.233

3-9

Differentials

Exercises

p.240

Review Exercises

p.242

Problem Solving

p.245

5-1

The Natural Logarithmic Function: Differentiation

Exercises

p.321

5-2

The natural Logarithmic Function: Integration

Exercises

p.330

5-3

Inverse Functions

Exercises

p.339

5-4

Exponential Functions: Differentiation and Integration

Exercises

p.348

5-5

Bases Other than e and Applications

Exercises

p.358

5-6

Indeterminate Forms and L'Hopital's Rule

Exercises

p.369

5-7

Inverse Trigonometric Functions: Differentiation

Exercises

p.379

5-8

Inverse Trigonometric Functions: Integration

Exercises

p.387

5-9

Hyperbolic Functions

Exercises

p.397

Review Exercises

p.400

Problem Solving

p.403

7-1

Area of a Region Between Two Curves

Exercises

p.450

7-2

Volume: The Disk Method

Exercises

p.461

7-3

Volume: The Shell Method

Exercises

p.470

7-4

Arc Length and Surfaces of Revolution

Exercises

p.481

7-5

Work

Exercises

p.491

7-6

Moments, Centers of Mass, and Centroids

Exercises

p.502

7-7

Fluid Pressure and Fluid Force

Exercises

p.509

Review Exercises

p.511

Problem Solving

p.513

8-1

Basic Integration Rules

Exercises

p.520

8-2

Integration by Parts

Exercises

p.529

8-3

Trigonometric Integrals

Exercises

p.538

8-4

Trigonometric Substitution

Exercises

p.547

8-5

Partial Fractions

Exercises

p.557

8-6

Numerical Integration

Exercises

p.564

8-7

Integration by Tables and Other Integration Techniques

Exercises

p.570

8-8

Improper Integrals

Exercises

p.579

Review Exercises

p.583

Problem Solving

p.585

9-1

Sequences

Exercises

p.596

9-2

Series and Convergence

Exercises

p.605

9-3

The Integral Tests and p-Series

Exercises

p.613

9-4

Comparisons of Series

Exercises

p.620

9-5

Alternating Series

Exercises

p.629

9-6

The Ratio and Root Tests

Exercises

p.637

9-7

Taylor Polynomials and Approximations

Exercises

p.648

9-8

Power Series

Exercises

p.658

9-9

Representation of Functions by Power Series

Exercises

p.666

9-10

Taylor and Maclaurin Series

Exercises

p.677

Review Exercises

p.680

Problem Solving

p.683

10-1

Conics and Calculus

Exercises

p.696

10-2

Plane Curves and Parametric Equations

Exercises

p.707

10-3

Parametric Equations and Calculus

Exercises

p.715

10-4

Polar Coordinates and Polar Graphs

Exercises

p.726

10-5

Area and Arc Length in Polar Coordinates

Exercises

p.735

10-6

Polar Equations of Conics and Kepler's Laws

Exercises

p.743

Review Exercises

p.746

Problem Solving

p.749

11-1

Vectors in the Plane

Exercises

p.759

11-2

Space Coordinates and Vectors in Space

Exercises

p.767

11-3

The Dot Product of Two Vectors

Exercises

p.777

11-4

The Cross Product of Two Vectors in Space

Exercises

p.785

11-5

Lines and Planes in Space

Exercises

p.794

11-6

Surfaces in Space

Exercises

p.806

11-7

Cylindrical and Spherical Coordinates

Exercises

p.813

Review Exercises

p.815

Problem Solving

p.817

12-1

Vector-Valued Functions

Exercises

p.825

12-2

Differentiation and Integration of Vector-Valued Functions

Exercises

p.834

12-3

Velocity and Acceleration

Exercises

p.842

12-4

Tangent Vectors and Normal Vectors

Exercises

p.852

12-5

Arc Length and Curvature

Exercises

p.864

Review Exercises

p.867

Problem Solving

p.869

13-1

Introduction to Functions of Several Variables

Exercises

p.880

13-2

Limits and Continuity

Exercises

p.891

13-3

Partial Derivatives

Exercises

p.900

13-4

Differentials

Exercises

p.909

13-5

Chain Rule for Functions of Several Variables

Exercises

p.917

13-6

Directional Derivatives and Gradients

Exercises

p.928

13-7

Tangent Planes and Normal Lines

Exercises

p.937

13-8

Extrema of Functions of Two Variables

Exercises

p.946

13-9

Applications of Extrema

Exercises

p.953

13-10

Lagrange Multipliers

Exercises

p.962

Review Exercises

p.964

Problem Solving

p.967

14-1

Iterated Integrals and Area In the Planes

Exercises

p.976

14-2

Double Integrals and Volume

Exercises

p.987

14-3

Change of Variables: Polar Coordinates

Exercises

p.995

14-4

Center of Mass and Moments of Inertia

Exercises

p.1004

14-5

Surface Area

Exercises

p.1011

14-6

Triple Integrals and Applications

Exercises

p.1021

14-7

Triple Integrals in Other Coordinates

Exercises

p.1029

14-8

Change of Variables: Jacobians

Exercises

p.1036

Review Exercises

p.1038

Problem Solving

p.1041

15-1

Vector Fields

Exercises

p.1053

15-2

Line Integrals

Exercises

p.1065

15-3

Conservative Vector Fields and Independence of Path

Exercises

p.1076

15-4

Green's Theorem

Exercises

p.1085

15-5

Parametric Surfaces

Exercises

p.1095

15-6

Surface Integrals

Exercises

p.1108

15-7

Divergence Theorem

Exercises

p.1116

15-8

Stokes's Theorem

Exercises

p.1123

Review Exercises

p.1124

Problem Solving

p.1127