9781305952874

Larson Calculus (AP Edition Update)

Bruce H. Edwards, Larson

10th Edition

2.1

The Derivative and the Tangent Line Problem

Exercises

p.103

2.2

Basic Differentiation Rules and Rates of Change

Exercises

p.114

2.3

Product and Quotient Rules and Higher-Order Derivatives

Exercises

p.125

2.4

The Chain Rule

Exercises

p.136

2.5

Implicit Differentiation

Exercises

p.145

2.6

Related Rates

Exercises

p.153

Review Exercises

p.157

Problem Solving

p.159

3.1

Extrema on an Interval

Exercises

p.167

3.2

Rolle's Theorem and the Mean Value Theorem

Exercises

p.174

3.3

Increasing and Decreasing Functions and the First Derivative Test

Exercises

p.183

3.4

Concavity and the Second Derivative Test

Exercises

p.192

3.5

Limits at Infinity

Exercises

p.202

3.6

A Summary of Curve Sketching

Exercises

p.212

3.7

Optimization Problems

Exercises

p.220

3.8

Newton's Method

Exercises

p.229

3.9

Differentials

Exercises

p.236

Review Exercises

p.238

Problem Solving

p.241

4.1

Antiderivatives and Indefinite Integrals

Exercises

p.251

4.2

Area

Exercises

p.263

4.3

Riemann Sums and Definite Integrals

Exercises

p.273

4.4

The Fundamental Theorem of Calculus

Exercises

p.288

4.5

Integration by Substitution

Exercises

p.301

4.6

Numerical Integration

Exercises

p.310

Review Exercises

p.312

Problem Solving

p.315

5.1

The Natural Logarithmic Function: Differentiation

Exercises

p.325

5.2

The Natural Logarithmic Function: Integration

Exercises

p.334

5.3

Inverse Functions

Exercises

p.343

5.4

Exponential Functions: Differentiation and Integration

Exercises

p.352

5.5

Bases Other than e and Applications

Exercises

p.362

5.6

Inverse Trigonometric Functions: Differentiation

Exercises

p.372

5.7

Inverse Trigonometric Functions: Integration

Exercises

p.380

5.8

Hyperbolic Functions

Exercises

p.390

Review Exercises

p.393

Problem Solving

p.395

7.1

Area of a Region Between Two Curves

Exercises

p.442

7.2

Volume: The Disk Method

Exercises

p.453

7.3

Volume: The Shell Method

Exercises

p.462

7.4

Arc Length and Surfaces of Revolution

Exercises

p.473

7.5

Work

Exercises

p.483

7.6

Moments, Centers of Mass, and Centroids

Exercises

p.494

7.7

Fluid Pressure and Fluid Force

Exercises

p.501

Review Exercises

p.503

Problem Solving

p.505

8.1

Basic Integration Rules

Exercises

p.512

8.2

Integration by Parts

Exercises

p.521

8.3

Trigonometric Integrals

Exercises

p.530

8.4

Trigonometric Substitution

Exercises

p.539

8.5

Partial Fractions

Exercises

p.549

8.6

Integration by Tables and Other Integration Techniques

Exercises

p.555

8.7

Indeterminate Forms and L'Hopital's Rule

Exercises

p.564

8.8

Improper Integrals

Exercises

p.575

Review Exercises

p.579

Problem Solving

p.581

9.1

Sequences

Exercises

p.592

9.2

Series and Convergence

Exercises

p.601

9.3

The Integral Test and p-Series

Exercises

p.609

9.4

Comparisons of Series

Exercises

p.616

9.5

Alternating Series

Exercises

p.625

9.6

The Ratio and Root Tests

Exercises

p.633

9.7

Taylor Polynomials and Approximations

Exercises

p.644

9.8

Power Series

Exercises

p.654

9.9

Representation of Functions by Power Series

Exercises

p.662

9.10

Taylor and Maclaurin Series

Exercises

p.673

Review Exercises

p.676

Problem Solving

p.679

10.1

Conics and Calculus

Exercises

p.692

10.2

Plane Curves and Parametric Equations

Exercises

p.703

10.3

Parametric Equations and Calculus

Exercises

p.711

10.4

Polar Coordinates and Polar Graphs

Exercises

p.722

10.5

Area and Arc Length in Polar Coordinates

Exercises

p.731

10.6

Polar Equations of Conics and Kepler's Laws

Exercises

p.739

Review Exercises

p.742

Problem Solving

p.745

11.1

Vectors in the Plane

Exercises

p.755

11.2

Space Coordinates and Vectors in Space

Exercises

p.763

11.3

The Dot Product of Two Vectors

Exercises

p.773

11.4

The Cross Product of Two Vectors in Space

Exercises

p.781

11.5

Lines and Planes in Space

Exercises

p.790

11.6

Surface in Space

Exercises

p.802

11.7

Cylindrical and Spherical Coordiantes

Exercises

p.809

Review Exercises

p.811

Problem Solving

p.813

12.1

Vector-Valued Functions

Exercises

p.821

12.2

Differentiation and Integration of Vector-Valued Functions

Exercises

p.830

12.3

Velocity and Acceleration

Exercises

p.838

12.4

Tangent Vectors and Normal Vectors

Exercises

p.848

12.5

Arc Length and Curvature

Exercises

p.860

Review Exercises

p.863

Problem Solving

p.865

13.1

Introduction to Functions of Several Variables

Exercises

p.876

13.2

Limits and Continuity

Exercises

p.887

13.3

Partial Derivatives

Exercises

p.896

13.4

Differentials

Exercises

p.905

13.5

Chain Rules for Functions of Several Variables

Exercises

p.913

13.6

Directional Derivatives and Gradients

Exercises

p.924

13.7

Tangent Planes and Normal Lines

Exercises

p.933

13.8

Extrema of Functions of Two Variables

Exercises

p.942

13.9

Applications of Extrema

Exercises

p.949

13.10

Lagrange Multipliers

Exercises

p.958

Review Exercises

p.960

Problem Solving

p.963

14.1

Iterated Integrals and Area in the Plane

Exercises

p.972

14.2

Double Integrals and Volume

Exercises

p.983

14.3

Change of Variables: Polar Coordinates

Exercises

p.991

14.4

Center of Mass and Moments of Inertia

Exercises

p.1000

14.5

Surface Area

Exercises

p.1007

14.6

Triple Integrals and Applications

Exercises

p.1017

14.7

Triple Integrals in Other Coordinates

Exercises

p.1025

14.8

Change of Variables: Jacobians

Exercises

p.1032

Review Exercises

p.1034

Problem Solving

p.1037

15.8

Stoke's Theorem

Exercises

p.119

15.1

Vector Fields

Exercises

p.1049

15.2

Line Integrals

Exercises

p.1061

15.3

Conservative Vector Fields and Independence of Path

Exercises

p.1072

15.4

Green's Theorem

Exercises

p.1081

15.5

Parametric Surfaces

Exercises

p.1091

15.6

Surface Integrals

Exercises

p.1104

15.7

Divergence Theorem

Exercises

p.1112

Review Exercises

p.1120

Problem Solving

p.1123