CliffsQuickReview Calculus (Cliffs Quick Review)

✍ Scribed by Jonathan J White

• Publisher: Cliffs Notes Paper
• Year: 2001
• Tongue: English
• Leaves: 129
• Category: Library

✦ Table of Contents

CliffsQuickReview

Calculus......Page 1
About the Authors......Page 3
Table of Contents......Page 4
How to Use This Book......Page 6
Visit Our Web Site......Page 7
Interval Notation......Page 8
Functions......Page 9
Linear Equations......Page 10
Trigonometric Functions......Page 13
Intuitive Definition......Page 19
Evaluating Limits......Page 21
One-sided Limits......Page 23
Infinite Limits......Page 24
Limits at Infinity......Page 26
Limits Involving Trigonometric Functions......Page 28
Continuity......Page 29
Definition......Page 34
Differentation Rules......Page 37
Trigonometric Function Differentiation......Page 39
Chain Rule......Page 40
Implicit Differentiation......Page 42
Higher Order Derivatives......Page 44
Differentiation of Inverse Trigonometric Functions......Page 45
Differentiation of Exponential and Logarithmic Functions......Page 46
Tangent and Normal Lines......Page 48
Critical Points......Page 49
Extreme Value Theorem......Page 50
Mean Value Theorem......Page 51
Increasing/ Decreasing Functions......Page 53
First Derivative Test for Local Extrema......Page 54
Second Derivative Test for Local Extrema......Page 55
Concavity and Points of Inflection......Page 56
Maximum/ Minimum Problems......Page 57
Distance, Velocity, and Acceleration......Page 60
Related Rates of Change......Page 61
Differentials......Page 63
Antiderivatives/ Indefinite Integrals......Page 68
Integration Techniques......Page 69
Distance, Velocity, and Acceleration......Page 78
Definite Integrals......Page 80
Area......Page 93
Volumes of Solids with Known Cross Sections......Page 98
Volumes of Solids of Revolution......Page 101
Arc Length......Page 106
CQR REVIEW......Page 109
Books......Page 114
Internet......Page 116
Glossary......Page 118
Limits......Page 121
Derivatives......Page 122
Integrals......Page 124
Index......Page 126