CALCULO DIFERENCIAL
of 57
Transcript of CALCULO DIFERENCIAL
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PRODUCTOS Y FACTORES NOTABLES
(x +y)2 = x2+ 2xy + y2 2(x - 1{? = x - 2xy + y2
(x + y)3 = x:3 + 3x2y + 3xy2 + y3 (x - y)3 = x3 _ 3x2y +3xy2 _ y3 (x + y)4 = x4 + 4x3y + 6x2y2+ 4xy3+ y4 (x --:- y)4 = x4 _ 4:i3y + 6x2y2 _ 4xy3 + y4
2x - y2 = (x - y) (x + y) x3 - y3 = (X - y)(x2+ xy + y2) x3+ y3'= (X + y)(x2 _ xy + y2) x4 - y4 = (X - y)(x + y)(x2+ y2) x5 ....:.. y5 = (X _ ;y)(x4+x3y + x2y2+ xy3 + y4) x5+ y5 = (X + y)(x4 _x3y + x2y2 _ xy3 + y4) x6 - y6= (X - y)(x +y)(x2+ xy + y2)(x2-xy + y2) x4+ x 2y2+ y4 = (x2+ xy + y2)(x2 _ xy + y2) x4+ 4y4 = (x2 + 2xy + 2y2)(x2 - 2xy + 2y2) Formula del binomio para n E N
n(n - 1)(x + y)n = xT! + nxT!-ly + 2! XT!-2 y2+ n(n-1)(n-2) n-33 n
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BASE CIRCULAR FORMULA
51 = 2 Tr Rh S=2Tr R(R+h) . V = TrR'h
CILINDRO RECTO DE SECCION OBLICUA
FORMULA: SI =1rR(h1+h2) v=7rR'(h1+h2)
2 1/\
CONO RECTO FORMULA:
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FIGURA ESFERA FORMULA:
S= 47lR2 t V =}1fR2 FIGURA
ELlPSOIDE DE TRES EJES
r .
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FIGURA
CUBO FORMULA
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PIRAMIDE FORMULA:
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PARALELOPIDEDO RECTANGULAR
FORMULA: S=2(ab+bc+ac)
SI=2(a+b)c, v= abc PARALELOPIDEDO ,, OSLICUO
i."FORMULA:
\V= Bh FIGURA
PRISMA RECJO FORMULA:
V = Ba .
A9REV1ATURAS: s= Sup. Totai 3= Sup. Lateral V=Volumen h= Altura R=Radio O=Diametro B= Sup. de base
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J
/
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6
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i
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3 i
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41
-1 Page 2
-
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> plot(xA2/(x~2+1) ,x=-6 .. 6,y=-1 .. 2);
1.5
y 1
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x
-0.5 I I I L
.1 Page 3
32 x
-1
j -11
1 I 1 1
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4 J
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Page 4
