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Preface
Chapter 1 Linear Coordinate Systems. Absolute Value. Inequalities. Linear Coordinate System Finite Intervals Infinite Intervals Inequalities Solved Problems Supplementary Problems
Chapter 2 Rectangular Coordinate Systems Coordinate Axes Coordinates Quadrants The Distance Formula The Midpoint Formulas Proofs of Geometric Theorems Solved Problems Supplementary Problems
Chapter 3 Lines The Steepness of a Line The Sign of the Slope Slope and Steepness Equations of Lines A Point-Slope Equation Slope-Intercept Equation Parallel Lines Perpendicular Lines Solved Problems Supplementary Problems
Chapter 4 Circles Equations of Circles The Standard Equation of a Circle Solved Problems Supplementary Problems
Chapter 5 Equations and Their Graphs The Graph of an Equation Parabolas Ellipses Hyperbolas Conic Sections Solved Problems Supplementary Problems
Chapter 6 Functions Solved Problems Supplementary Problems
Chapter 7 Limits Limit of a Function Right and Left Limits Theorems on Limits Infinity Solved Problems Supplementary Problems
Chapter 8 Continuity Continuous Function Solved Problems Supplementary Problems
Chapter 9 The Derivative Delta Notation The Derivative Notation for Derivatives Differentiability Solved Problems Supplementary Problems
Chapter 10 Rules for Differentiating Functions Differentiation Composite Functions. The Chain Rule. Chain Rule Alternative Formulation of the Chain Rule Inverse Functions Higher Derivatives Solved Problems Supplementary Problems
Chapter 11 Implicit Differentiation Implicit Functions Derivatives of Higher Order Solved Problems Supplementary Problems
Chapter 12 Tangent and Normal Lines The Angles of Intersection Solved Problems Supplementary Problems
Chapter 13 Law of the Mean. Increasing and Decreasing Functions. Relative Maximum and Minimum Increasing and Decreasing Functions Solved Problems Supplementary Problems
Chapter 14 Maximum and Minimum Values Critical Numbers Second Derivative Test for Relative Extrema First Derivative Test Absolute Maximum and Minimum Tabular Method for Finding the Absolute Maximum and Minimum Solved Problems Supplementary Problems
Chapter 15 Curve Sketching. Concavity. Symmetry. Concavity Points of Inflection Vertical Asymptotes Horizontal Asymptotes Symmetry Inverse Functions and Symmetry Even and Odd Functions Hints for Sketching the Graph G of y = f (x) Solved Problems Supplementary Problems
Chapter 16 Review of Trigonometry Angle Measure Directed Angles Sine and Cosine Functions Solved Problems Supplementary Problems
Chapter 17 Differentiation of Trigonometric Functions Continuity of cos x and sin x Graph of sin x Graph of cos x Other Trigonometric Functions Derivatives Other Relationships Graph of y = tan x Graph of y = sec x Angles Between Curves Solved Problems Supplementary Problems
Chapter 18 Inverse Trigonometric Functions The Derivative of sinâ??1 x The Inverse Cosine Function The Inverse Tangent Function Solved Problems Supplementary Problems
Chapter 19 Rectilinear and Circular Motion Rectilinear Motion Motion Under the Influence of Gravity Circular Motion Solved Problems Supplementary Problems
Chapter 20 Related Rates Solved Problems Supplementary Problems
Chapter 21 Differentials. Newton''s Method. The Differential Definition Newton''s Method Solved Problems Supplementary Problems
Chapter 22 Antiderivatives Laws for Antiderivatives Solved Problems Supplementary Problems
Chapter 23 The Definite Integral. Area Under a Curve. Sigma Notation Area Under a Curve Properties of the Definite Integral Solved Problems Supplementary Problems
Chapter 24 The Fundamental Theorem of Calculus Mean Value Theorem for Integrals Average Value of a Function on a Closed Interval Fundamental Theorem of Calculus Change of Variable in a Definite Integral Solved Problems Supplementary Problems
Chapter 25 The Natural Logarithm The Natural Logarithm Definition Properties of the Natural Logarithm Solved Problems Supplementary Problems
Chapter 26 Exponential and Logarithmic Functions Definition Properties of ex The General Exponential Function General Logarithmic Functions Solved Problems Supplementary Problems
Chapter 27 L''Hôpital''s Rule L''Hôpital''s Rule Indeterminate Type 0 · â?? Indeterminate Type â?? â?? â?? Indeterminate Types 00, â??0, and 1â?? Solved Problems Supplementary Problems
Chapter 28 Exponential Growth and Decay Half-Life Solved Problems Supplementary Problems
Chapter 29 Applications of Integration I: Area and Arc Length Area Between a Curve and the Y-Axis Areas Between Curves Arc Length Solved Problems Supplementary Problems
Chapter 30 Applications of Integration II: