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" This can now be rearranged into the more convenient and memorisable form This can be expressed in words as the derivative of a quotient is equal to the bottom times the derivative of the top minus the top times the derivative of the bottom, all over the... "
Mathematical Methods for Physics and Engineering: A Comprehensive Guide - Página 47
de K. F. Riley, M. P. Hobson, S. J. Bence - 2006
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Mathematical Methods for the Physical Sciences: An Informal Treatment for ...

K. F. Riley - 1974 - 533 páginas
...form = ^ ~gh . (1.45) As usually expressed in words [hardly mathematically, but sufficiently clearly]; The derivative of a quotient is equal to 'the bottom...the bottom, all over the bottom squared'. Find the (first) derivatives of the following: sin x 3x2 + 1x + \ (c) tan x in the form , (a) — cos x 8x2...
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Workshop Calculus: Guided Exploration With Review, Volume 2

Nancy Baxter Hastings, P. Laws - 1998 - 397 páginas
...derivative of a quotient equals the bottom (denominator) times the derivative of the top (numerator) minus the top times the derivative of the bottom all over the bottom squared." The quotient of two functions can always be expressed as a product of two functions: Consequently,...
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Bob Miller's Calc for the Clueless: Calc I

Bob Miller - 1997 - 150 páginas
...that we have the product rule and the next two rules. RULE 8 The quotient rule. The quotient rule says the bottom times the derivative of the top minus the top times the derivative of the bottom, all divided by the bottom squared. EXAMPLE 9 Findy'ify = -r x2 x3 + 2x + l (bottom)(top)' , _ (x3 + 2x...
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The Mathematics Companion: Mathematical Methods for Physicists and Engineers

Anthony Craig Fischer-Cripps - 2005 - 210 páginas
...the derivative of the first. The derivative is given by the top times the derivative of the bottom minus the top times the derivative of the bottom all over the bottom squared. Function of a function: dx dg dx dx The derivative is given by the derivative of the brackets times...
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Senior Maths: Calculus

Kevin Dunne - 2006 - 48 páginas
...If y = — then the derivative is — = — — — . v dx v2 You may choose to remember the rule as 'bottom times the derivative of the top, minus the top times the derivative of the bottom, divided by the bottom squared'. _--r-3 dy _(2x-l)x2x-(x2-3)x2 ™*JT У~2х-1 ' dx~ (2x-l)2 _4x2-2x-2x2+6...
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Bob Miller's High School Calc for the Clueless - Honors and AP Calculus AB & BC

Bob Miller - 2007 - 246 páginas
...[g(x)]z The Basics 39 RULE 8 40 BOB MILLER'S HIGH SCHOOL CALCULUS FORTHE CLUELESS The quotient rule says the bottom times the derivative of the top minus the top times the derivative of the bottom, all divided by the bottom squared. EXAMPLE 10 — Find y' if y = (bottom)(top)' - (top)(bottom) y = x3...
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