Student Solutions Manual
to accompany
Calculus for Business,
Economics, and the
Social and Life Sciences
Tenth Edition
,Laurence D. Hoffman
Smith Barney
Gerald L. Bradley
Claremon McKenna College
Prepared by
Devilyna Nichols
Purdue University
,[to be supplied by publisher]
, CONTENTS
Chapter 1 Functions, Graphs, and Limits 1
1.1 Functions 1
1.2 The Graph of a Function 6
1.3 Linear Functions 14
1.4 Functional Models 19
1.5 Limits 26
1.6 One-Sided Limits and Continuity 30
Checkup for Chapter 1 33
Review Problems 36
Chapter 2 Differentiation: Basic Concepts 43
2.1 The Derivative 43
2.2 Techniques of Differentiation 52
2.3 Product and Quotient Rules; Higher-Order Derivatives 57
2.4 The Chain Rule 64
2.5 Marginal Analysis; Approximations Using Increments 72
2.6 Implicit Differentiation and Related Rates 75
Checkup for Chapter 2 82
Review Problems 84
Chapter 3 Additional Applications of the Derivative 93
3.1 Increasing and Decreasing Functions; Relative Extrema 93
3.2 Concavity and Points of Inflection 103
3.3 Curve Sketching 114
3.4 Optimization 124
3.5 Additional Applied Optimization 132
Checkup for Chapter 3 141
Review Problems 148
Chapter 4 Exponential and Logarithmic Functions 159
4.1 Exponential Functions 159
4.2 Logarithmic Functions 165
4.3 Differentiation of Logarithmic and Exponential Functions 173
4.4 Additional Exponential Models 182
Checkup for Chapter 4 199
Review Problems 205
iii
to accompany
Calculus for Business,
Economics, and the
Social and Life Sciences
Tenth Edition
,Laurence D. Hoffman
Smith Barney
Gerald L. Bradley
Claremon McKenna College
Prepared by
Devilyna Nichols
Purdue University
,[to be supplied by publisher]
, CONTENTS
Chapter 1 Functions, Graphs, and Limits 1
1.1 Functions 1
1.2 The Graph of a Function 6
1.3 Linear Functions 14
1.4 Functional Models 19
1.5 Limits 26
1.6 One-Sided Limits and Continuity 30
Checkup for Chapter 1 33
Review Problems 36
Chapter 2 Differentiation: Basic Concepts 43
2.1 The Derivative 43
2.2 Techniques of Differentiation 52
2.3 Product and Quotient Rules; Higher-Order Derivatives 57
2.4 The Chain Rule 64
2.5 Marginal Analysis; Approximations Using Increments 72
2.6 Implicit Differentiation and Related Rates 75
Checkup for Chapter 2 82
Review Problems 84
Chapter 3 Additional Applications of the Derivative 93
3.1 Increasing and Decreasing Functions; Relative Extrema 93
3.2 Concavity and Points of Inflection 103
3.3 Curve Sketching 114
3.4 Optimization 124
3.5 Additional Applied Optimization 132
Checkup for Chapter 3 141
Review Problems 148
Chapter 4 Exponential and Logarithmic Functions 159
4.1 Exponential Functions 159
4.2 Logarithmic Functions 165
4.3 Differentiation of Logarithmic and Exponential Functions 173
4.4 Additional Exponential Models 182
Checkup for Chapter 4 199
Review Problems 205
iii
