Differentialrechnung

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Line 1: Line 1:
{|border=1
{|border=1
|'''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>\-cos x+C</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></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></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

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