Differentialrechnung

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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>
Line 42: Line 58:
|<math>-\frac 1 {1+x^2}</math>
|<math>-\frac 1 {1+x^2}</math>
|-
|-
-
|<math>e^x</math>
+
|<math>\sinh x</math>
-
|<math>e^x</math>
+
|<math>\cosh 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} = \frac 1 x \cdot log_a e</math>
+
-
|<math></math>
+
-
|-
+
-
|<math></math>
+
-
|<math></math>
+
|<math></math>
|<math></math>
|-
|-

Revision as of 06:56, 17 September 2008

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