Differentialrechnung
From SkyWiki
(Difference between revisions)
m |
|||
| 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}+C</math> | |<math>\frac 1{n+1} \cdot x^{n+1}+C</math> | ||
| + | |- | ||
| + | |<math>\frac 1 x</math> | ||
| + | |<math></math> | ||
| + | |<math>\ln\, \left|x\right|+C</math> | ||
|- | |- | ||
|<math>e^x</math> | |<math>e^x</math> | ||
| Line 44: | Line 48: | ||
|- | |- | ||
|<math>\arcsin x</math> | |<math>\arcsin x</math> | ||
| - | |<math>\frac 1 {1-x^2}</math> | + | |<math>\frac 1 {\sqrt{1-x^2}}</math> |
|- | |- | ||
|<math>\arccos x</math> | |<math>\arccos x</math> | ||
| - | |<math>-\frac 1 {1-x^2}</math> | + | |<math>-\frac 1 {\sqrt{1-x^2}}</math> |
|- | |- | ||
|<math>\arctan x</math> | |<math>\arctan x</math> | ||
Revision as of 07:14, 17 September 2008
| Funktion | Ableitung | Integral |
