tailieunhanh - Sách: Calculus

CalculusPublisher: Wikibooks 2011Number of pages: 456Description:This wikibook aims to be a quality calculus textbook through which users may master the discipline. Standard topics such as limits, differentiation and integration are covered as well as sequences and series, multivariable and differential calculus. | 1 CALCULUS Book 1 by Peter J. Ponzo 2 TABLE OF CONTENTS EXAMPLE ASSORTED LECTURE SOME NUMBERS . and EQ f 5 0 . 8 5 is NOT a INEQUALITIES. 8 vertical line test .9 functions and their ABSOLUTE To plot y f x .11 SOME TRIG the RADIAN measure of an SOME TRIG GRAPHS. 12 SOME GEOMETRY. 13 LOGARITHMS and EXPONENTIALS. 13 exponential logarithmic function. 13 ODDS n geometric Sigma LECTURE LIMIT ONE SIDED LECTURE INFINITE LIMITS. 20 ASYMPTOTES. 21 CONTINUOUS LECTURE 3. .24 TECHNIQUES FOR EVALUATING LIMITS WHEN THE .24 The form EQ f . 24 The form TO - rc .24 The form EQ f 0 0 . 24 Reduce the given limit to one you to make the SQUEEZE the graph of y f x sin LECTURE 4. 28 the the more on DIFFERENTIATION RULES. 31 the CHAIN RULE. 32 HIGHER concave up. 33 concave down. 33 the Logistic 3 LECTURE IMPLICIT DIFFERENTIATION TRANSCENDENTAL IMPLICIT DIFFERENTIATION. .34 the slope at a point x y .35 greatest integer trig exponential and log weird the TRIG FUNCTIONS and their the EXPONENTIAL and LOG ln LECTURE INVERSE fUncTiONS. 39 horizontal line TESTING TO SEE IF A FUNCTION HAS AN Examples of the Derivative of an Exponential LOGARITHMIC DIFfErENTIATION. .42 About Exponential About the number ODDS n ENDS ON CURVE Even and Odd Quick Dirty Curve LECTURE 7. 47 MORE ON INVERSE the INVERSE the INVERSE restricting the Check the the limit of EQ f sin A A .54 y sin x with x in LECTURE 8. .55 ABSOLUTE .