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Thema:

Mathe

(437x gelesen)

Seiten: 1

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Beitrag von NeonT

21.11.2008 08:15:15

NeonT


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NeonT hat kein Profilbild...

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Themenstarter
NeonT hat das Thema eröffnet...


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hey könnt ihr mir bei einigen aufgaben helfen?

bilde die ableitung
f(x)= x³+2x-1
_______
x-1

differenziere nach der Quotientenregel. bilde auch die 2.ableitung

f(x) xhoch2
______
xhoch2+1

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Beitrag von NeonT

21.11.2008 08:18:53

NeonT


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NeonT hat kein Profilbild...

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Themenstarter
NeonT hat das Thema eröffnet...


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dieser strich ___ soll durch bedeuten bei der ersten z.B durch x-1

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Beitrag von Juli.ScorpiO

21.11.2008 10:02:38

Juli.ScorpiO

Profilbild von Juli.ScorpiO ...

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f(x)= (x³+2x-1) / (x-1)

u = x³+2x-1
u'= 3x²+2
v = x-1
v'= 1

f' (x) = (u'v - uv')/v²
f' (x) = [(3x²+2)(x-1) - (x³+2x-1)(1)]/(x-1)²
f' (x) = (3x³-3x²+2x-2-x³-2x+1)/(x-1)²
f' (x) = (2x³-3x²-1)/(x-1)²


f(x) = (x² / (x²+1)
u = x²
u'= 2x
v = x²+1
v'= 2x

f' (x) = (u'v - uv')/v²
f' (x) = [2x*(x²+1) - x²*2x]/(x²+1)²
f' (x) = (2x³+2x-2x³ /(x²+1)²
f' (x) = 2x/(x²+1)²

u = 2x
u'= 2
v = (x²+1)²
v'= 2x*2*(x²+1) '--- innere mal äußere Ableitung

f'' (x) = (u'v - uv')/v²
f'' (x) = [2*(x²+1)² - 2x*2x*2*(x²+1)] / (x²+1)^4
f'' (x) = [(x²+1)* (2*(x²+1) - 2x*2x*2] / [(x²+1)*(x²+1)³]
f'' (x) = [2*(x²+1) - 2x*2x*2]/(x²+1)³
f'' (x) = (2x²+2-8x² /(x²+1)³
f'' (x) = (-6x²+2)/(x²+1)³

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Beitrag von Juli.ScorpiO

21.11.2008 10:03:04

Juli.ScorpiO

Profilbild von Juli.ScorpiO ...

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die blöden smileys sind jeweils runde klammern zu => )

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Beitrag von Tissue

21.11.2008 12:08:01

Tissue

Profilbild von Tissue ...

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kudos on the schreibarbeit

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Seiten: 1

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Mathe
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