CalculusThe Larson CALCULUS program has a long history of innovation in the calculus market. It has been widely praised by a generation of students and professors for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version. 
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Contents
Preparation for Calculus  1 
ADDITIONAL APPENDICES  30 
Limits and Their Properties  41 
Differentiation  95 
P S Problem Solving  161 
3 1 Extrema on an Interval  164 
the First Derivative Test  179 
9  235 
The Harmonic Series  625 
Solera Method  632 
P S Problem Solving  693 
CHAPTER  762 
12 1 VectorValued Functions  834 
Functions  842 
Functions of Several Variables  885 
Two Variables  962 
Integration  247 
Logarithmic Exponential and Other  323 
iii  372 
Differential Equations  405 
Applications of Integration  447 
Integration Techniques LHôpitals Rule  519 
Cantors Disappearing Table  618 
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Common terms and phrases
2010 Cengage Learning apply approaches approximate asymptote average axis bounded calculus closed concave Consider constant continuous Copyright 2010 Cengage critical numbers curve decreasing defined definite integral derivative determine differential equation distance domain equal estimate evaluate EXAMPLE Exercises exists Explain extrema false feet Find force formula function fx dx fx x2 give given graphing utility height horizontal hour increasing integral interval length lim x→0 limit logarithmic maximum Mean Mean Value Theorem measured Method miles NOTE object obtain original positive problem produces properties Prove rate of change rectangle region relative minimum represent respect result Rights Reserved Rule Show shown in Figure side sketch slope Solution solve speed square tangent line Test Theorem utility to graph variable verify vertical volume write zero