Differentialrechnung
From SkyWiki
(Difference between revisions)
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|'''Funktion <math>f(x)</math>''' | |'''Funktion <math>f(x)</math>''' | ||
| - | |'''Ableitung <math>f'(x)=\frac{d f(x)}{d x}</math>''' | + | |'''Ableitung <math>f'(x)=\frac{d f(x)}{d x}d x</math>''' |
|'''Integral <math>F(x)=\int f(x)</math>''' | |'''Integral <math>F(x)=\int f(x)</math>''' | ||
|- | |- | ||
|<math>\sin x</math> | |<math>\sin x</math> | ||
|<math>\cos x</math> | |<math>\cos x</math> | ||
| - | |<math> | + | |<math>-\cos x+C</math> |
|- | |- | ||
|<math>\cos x</math> | |<math>\cos x</math> | ||
| Line 14: | Line 14: | ||
|<math>\tan x</math> | |<math>\tan x</math> | ||
|<math>\frac 1 {\cos^2 x} = 1+\tan^2 x</math> | |<math>\frac 1 {\cos^2 x} = 1+\tan^2 x</math> | ||
| - | |||
|- | |- | ||
|<math>\cot x</math> | |<math>\cot x</math> | ||
|<math>-\frac 1 {\sin^2 x} = -(1+\cot^2 x)</math> | |<math>-\frac 1 {\sin^2 x} = -(1+\cot^2 x)</math> | ||
| - | |||
|- | |- | ||
|<math>\arcsin x</math> | |<math>\arcsin x</math> | ||
| Line 38: | Line 36: | ||
|<math>e^x</math> | |<math>e^x</math> | ||
|<math>e^x</math> | |<math>e^x</math> | ||
| - | |<math>e^x</math> | + | |<math>e^x+C</math> |
|- | |- | ||
|<math>a^x</math> | |<math>a^x</math> | ||
Revision as of 06:35, 17 September 2008
| Funktion | Ableitung | Integral |
