Transcription of CALCULUS I - hi
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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 ..151 Derivatives .. 166 Introduction ..166 The Definition of the Derivative ..168 Interpretations of the Derivative.
Differentiation Formulas – Here we will start introducing some of the differentiation formulas used in a calculus course. Product and Quotient Rule – In this section we will took at differentiating products and quotients of functions. Derivatives of Trig Functions – We’ll give the derivatives of the trig functions in this section.
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