Differentialrechnung
From SkyWiki
(Difference between revisions)
Line 15: | Line 15: | ||
|<math>n \cdot x^{n-1}</math> | |<math>n \cdot x^{n-1}</math> | ||
|<math>\frac 1{n+1} \cdot x^{n+1}</math> | |<math>\frac 1{n+1} \cdot x^{n+1}</math> | ||
+ | |- | ||
+ | |<math>e^x</math> | ||
+ | |<math>e^x</math> | ||
+ | |<math>e^x+C</math> | ||
+ | |- | ||
+ | |<math>a^x</math> | ||
+ | |<math>(\ln\,a) \cdot a^x</math> | ||
+ | |<math></math> | ||
+ | |- | ||
+ | |<math>\ln x</math> | ||
+ | |<math>\frac 1 x</math> | ||
+ | |<math></math> | ||
+ | |- | ||
+ | |<math>\log_a x</math> | ||
+ | |<math>\frac 1 {\ln a \cdot x} = log_a e \cdot \frac 1 x</math> | ||
+ | |<math></math> | ||
|- | |- | ||
|<math>\sin x</math> | |<math>\sin x</math> | ||
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|<math>-\frac 1 {1+x^2}</math> | |<math>-\frac 1 {1+x^2}</math> | ||
|- | |- | ||
- | |<math> | + | |<math>\sinh x</math> |
- | + | |<math>\cosh x</math> | |
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- | + | ||
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- | |<math>\ | + | |
- | + | ||
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|<math></math> | |<math></math> | ||
|- | |- |
Revision as of 06:56, 17 September 2008
Funktion | Ableitung | Integral |