(\partial)/(\partial x)(e^{6/x})

Lösung

\frac{\partial}{\partial x} (e^{\frac{6}{x}})

- \frac{6 e ^{\frac{6}{x}}}{x ^{2}}

Schritte zur Lösung

\frac{\partial}{\partial x} (e^{\frac{6}{x}})

Wende die Kettenregel an:

e^{\frac{6}{x}} \frac{\partial}{\partial x} (\frac{6}{x})

= e^{\frac{6}{x}} \frac{\partial}{\partial x} (\frac{6}{x})

\frac{\partial}{\partial x} (\frac{6}{x}) = - \frac{6}{x ^{2}}

= e^{\frac{6}{x}} (- \frac{6}{x ^{2}})

Vereinfache

e^{\frac{6}{x}} (- \frac{6}{x ^{2}}) : - \frac{6 e ^{\frac{6}{x}}}{x ^{2}}

= - \frac{6 e ^{\frac{6}{x}}}{x ^{2}}

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