Preface xiv To the Student xxvi A Preview of Calculus 2 1 Functions and Hodels 10 1.1 Four Ways to Represent a Function 11 1.2 Mathematical Models: A Catalog of Essential Functions 25 i.3 New Functions from Old Functions 38 1.4 Graphing Calculators and Computers 48 1.5 Exponential Functions 55 1.6 Inverse Functions and Logarithms 63 Review 77 Principles of Problem Solving 80 2 Limils and Derivatives 8G 2.1 The Tangent and Velocity Problems 87 2.2 The Limit of a Function 92 2.3 Calculating Limits Using the Limit Laws 104 2.4 The Precise Definition of a Limit 114 2.5 Continuity 124 2.6 Limits at Infinity; Horizontal Asymptotes 135 2.7 Tangents, Velocities, and Other Rates of Change 149 2.8 Derivatives 158 Writing Project o Early Methods for .. |
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