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CALCULUS I - hi

CALCULUS I Paul Dawkins CALCULUS I 2007 Paul Dawkins i Table of Contents Preface .. iii Outline .. iv 2 Introduction .. 2 Review : Functions .. 4 Review : Inverse Functions .. 10 Review : Trig Functions .. 17 Review : Solving Trig Equations .. 24 Review : Solving Trig Equations with Calculators, Part I .. 33 Review : Solving Trig Equations with Calculators, Part II .. 44 Review : Exponential Functions .. 49 Review : Logarithm Functions .. 52 Review : Exponential and Logarithm Equations .. 58 Review : Common Graphs .. 64 Limits .. 76 Introduction .. 76 Rates of Change and Tangent Lines .. 78 The Limit .. 87 One Sided Limits .. 97 Limit Properties ..103 Computing Limits ..109 Infinite Limits ..117 Limits At Infinity, Part I ..126 Limits At Infinity, Part II ..135 Continuity ..144 The Definition of the Limit.

to cement in our minds one of the more important concepts about derivatives and because it requires implicit differentiation. Higher Order Derivatives – Here we will introduce the idea of higher order derivatives. Logarithmic Differentiation – The topic of logarithmic differentiation is not always presented in a standard calculus course.

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