Differentialrechnung
From SkyWiki
(Difference between revisions)
| Line 14: | Line 14: | ||
|<math>x^n</math> | |<math>x^n</math> | ||
|<math>n \cdot x^{n-1}</math> | |<math>n \cdot x^{n-1}</math> | ||
| - | |<math>\frac 1{n+1} \cdot x^{n+1}+C</math> | + | |<math>\frac 1{n+1} \cdot x^{n+1}+C,\ n\ne-1</math> |
|- | |- | ||
|<math>\frac 1 x</math> | |<math>\frac 1 x</math> | ||
| - | |<math></math> | + | |<math>-\frac 1 {x^2}</math> |
|<math>\ln\, \left|x\right|+C</math> | |<math>\ln\, \left|x\right|+C</math> | ||
|- | |- | ||
| Line 26: | Line 26: | ||
|<math>a^x</math> | |<math>a^x</math> | ||
|<math>(\ln\,a) \cdot a^x</math> | |<math>(\ln\,a) \cdot a^x</math> | ||
| + | |<math>\frac 1{\ln a} \cdot a^x+C</math> | ||
|- | |- | ||
|<math>\ln x</math> | |<math>\ln x</math> | ||
Revision as of 07:22, 17 September 2008
| Funktion | Ableitung | Integral |
