Section 2.3 Basic Differentiation Formulas 2010 Kiryl Tsishchanka Basic Differentiation Formulas DERIVATIVE OF A CONSTANT FUNCTION: d (c) = 0 dx c′ = 0 or Proof: Suppose f (x) = c‚ then f (x + h) − f (x) c−c 0 = lim = lim = lim 0 = 0 h→0 h→0 h→0 h h→0 h h f ′ (x) = lim EXAMPLES: ′ 1 = 0‚ ′ 5 = 0‚ ′ 0 = 0‚ ′ (−7/9) = 0‚ √ 1+ 5 2 ′ π = 0‚ ′ = 0‚ √ (x 3 x + 1 − x4/3 )′ = 0 THE POWER RULE: If n is a positive integer‚ then d n (x ) = nxn−1 dx or (xn )′ = nxn−1 Proof: Before we prove
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these benefits are a reason why John M. Barry writes about scientific research with admiration‚ curiosity‚ and passion in which he blends a use of rhetorical strategies in order to give off an overall perspective of the necessity and mystery within scientific research. Foremost‚ John M. Barry creates the sense of importance by describing unknown yet highly desired information that all scientists wish to obtain from scientific research‚ through the strategy of abstract diction where connotation
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Crown Lands Act- The Crown Lands Acts 1861 (NSW) were introduced by the New South Wales Premier‚ John Robertson‚ in 1861 to reform land holdings and in particular to break the squatters’ domination of land tenure. Under his reforms unsurveyed land in an area which had been declared an agricultural reserve in designated unsettled areas could be selected and bought freehold in 40-to-320-acre (16–130 ha) lots of Crown land‚ wherever situated at £1 per acre (£2 9s 5d/ha)‚ on a deposit of five shillings
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Sex Differentiation and Sexism in English Language ? ???????????? ?????????????????sexism????Webster Ninth New Collegiate Dictionary??????prejudice or discrimination based on sex ; esp: discrimination against women ‚ ?????????????????????«??????» ?“????”?????“??????????????????????”«????» ?“????”???????“???????(?????).”??????????“????”?????????????????????????????? ?)???????? 1?He/man?? ???‚ he‚ man‚ his‚ him‚ mankind????????‚????????‚ he????‘?’????‘?’‚ man????????: (1)If a person
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Title: Trurl’s Machine Author: Stanislaw Lem As a boy Stanislaw Lem showed an early interest in science as well as in the imaginary worlds of fantasy and science fiction. The young Lem’s interest in tinkering mechanical devices of all sorts was put to use by secretly damaging the German vehicles during the Nazi occupation. Later on‚ he became a full time writer establishing himself as leading science fiction writer in Eastern Europe. This writer from Lvov Poland (now Ukraine) worked on serious
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THE INFLUENCE OF MODERN ART Cubism New attitudes towards pictorial space and geometric abstraction with geometric planes (but still based on real objects) - Influenced by African tribal masks/ breaking natural objects into planes/shapes. - Figures simultaneously seen from more than one view through relationships of geometric planes. - Analytical cubism based on process of human vision‚ eyes scan a subject then compile it into a whole. - Introduced collage‚ allowed for composition free of
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The problem with today’s youth is their addiction to technology. We have an undeniable hunger for entertainment. The hunger must be fed and sustained or we cannot function properly‚ yet it is never filled. We yearn for more and more. This‚ in turn‚ produces new technology to meet consumer needs. MP3 players‚ cell phones‚ and laptops are all objects to entertain our dulled minds. Rarely do we cure our boredom with a book or another form of "intellectual" entertainment. We would rather let the screen
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The Colomber Dino Buzzati‚ translated by Lawrence Venuti When Stefano Roi was twelve years old‚ he asked his father‚ a sea captain and the owner of a fine sailing ship‚ to take him on board as his birthday gift. “When I grow up‚” the boy said‚ “I want to go to sea with you. And I shall command ships even more beautiful and bigger than yours.” “God bless you‚ my son‚” the father answered. And since his vessel had to leave that very day‚ he took the boy with him. It was a splendid sunny
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Part 1: Estimation of demerged entities’ future earnings Tabcorp Holdings Limited (ASX: TAH‚ “Tabcorp”) announced a demerger on 18th October‚ 2010. The Company separated into two entities: the casino business was operating as an independent entity‚ Echo Entertainment Group (“Echo”) ever since‚ and the waging business was still operating under Tabcorp. The two entities announced their respective annual report for financial year 2011. Based on the historical financial data‚ we applied pro-forma
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Tyler Hill 08/12/10 American Intercontinental University Abstract Now that my product‚ M&M candy pieces has been developed‚ it needs to be determined how it will become available to the end user. There are a few things that need to be determined before this can happen. These include an overview of distribution channels that also include channel levels and channel organizations. Another thing that needs to be considered is analyzing my target market needs- meaning I need to know my target market
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