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Lösung 1.2:1e

Aus Online Mathematik Brückenkurs 2

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The quotient rule gives
The quotient rule gives
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{{Displayed math||<math>\begin{align}
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{{Abgesetzte Formel||<math>\begin{align}
\Bigl(\frac{x}{\ln x}\Bigr)'
\Bigl(\frac{x}{\ln x}\Bigr)'
&= \frac{(x)'\cdot \ln x - x\cdot (\ln x)'}{(\ln x)^2}\\[5pt]
&= \frac{(x)'\cdot \ln x - x\cdot (\ln x)'}{(\ln x)^2}\\[5pt]

Version vom 12:52, 10. Mär. 2009

The quotient rule gives

xlnx=(lnx)2(x)lnx−x(lnx)=(lnx)21lnx−xx1=(lnx)2lnx−1=1lnx−1(lnx)2.
Von „http://wiki.math.se/wikis/2009/bridgecourse2-TU-Berlin/index.php/L%C3%B6sung_1.2:1e“