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Beliebt Rechnen >

derivative e^{6/x}

Lösung

ableitung von

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d 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}}

Graph

Beliebte Beispiele

limit as x approaches 3.01 of x^2+3x

x(dy)/(dx)=2xe^{x^2}-y+6x^2

y^'+y-3cos(x)=0

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