TY - BOOK AU - Anton,Howard AU - Bivens,Irl AU - Davis,Stephen TI - Calculus: Early Transcendentals SN - 0471472441 (alk. paper) AV - QA303.2 .A572 2005 U1 - 515 22 PY - 2005/// CY - Hoboken, NJ PB - John Wiley & Sons KW - Calculus KW - Textbooks N1 - Includes index; chapter one FUNCTIONS 11.1 Functions 11.2 Graphing Functions Using Calculators and Computer Algebra Systems161.3 New Functions from Old 271.4 Families of Functions401.5 Inverse Functions; Inverse Trigonometric Functions 511.6 Exponential and Logarithmic Functions 651.7 Mathematical Models 761.8 Parametric Equations 86chapter two LIMITS AND CONTINUITY 1012.1 Limits (An Intuitive Approach) 1012.2 Computing Limits 1132.3 Limits at Infinity; End Behavior of a Function 1222.4 Limits (Discussed More Rigorously) 1342.5 Continuity 1442.6 Continuity of Trigonometric and Inverse Functions 155chapter three THE DERIVATIVE 1653.1 Tangent Lines, Velocity, and General Rates of Change 1653.2 The Derivative Function 1783.3 Techniques of Differentiation 1903.4 The Product and Quotient Rules 1983.5 Derivatives of Trigonometric Functions 2043.6 The Chain Rule 2093.7 Related Rates 2173.8 Local Linear Approximation; Differentials 224 chapter four EXPONENTIAL, LOGARITHMIC, AND INVERSE TRIGONOMETRIC FUNCTIONS 2354.1 Implicit Differentiation 2354.2 Derivatives of Logarithmic Functions 2434.3 Derivatives of Exponential and Inverse Trigonometric Functions 2484.4 L'Hopital's Rule; Indeterminate Forms 256chapter five THE DERIVATIVE IN GRAPHING AND APPLICATIONS 2675.1 Analysis of Functions I:Increase, Decrease, and Concavity 2675.2 Analysis of Functions II: Relative Extrema; Graphing Polynomials 2795.3 More on Curve Sketching: Rational Functions; Curves with Cusps and Vertical Tangent Lines; Using Technology 2895.4 Absolute Maxima and Minima 3015.5 Applied Maximum and Minimum Problems 3095.6 Newton's Method 3235.7 Rolle's Theorem; Mean-Value Theorem 3295.8 Rectilinear Motion 336chapter six INTEGRATION 3496.1 An Overview of the Area Problem 3496.2 The Indefinite Integral 3556.3 Integration by Substitution 3656.4 The Definition of Area as a Limit; Sigma Notation3736.5 The Definite Integral 3866.6 The Fundamental Theorem of Calculus 3966.7 Rectilinear Motion Revisited Using Integration 4106.8 Evalu N2 - Designed for the freshman/sophomore Calculus I-II-III sequence, the eighth edition continues to evolve to fulfill the needs of a changing market by providing flexible solutions to teaching and learning needs of all kinds. The new edition retains the strengths of earlier editions such as Anton's trademark clarity of exposition, sound mathematics, excellent exercises and examples, and appropriate level. Anton also incorporates new ideas that have withstood the objective scrutiny of many skilled and thoughtful instructors and their students ER -