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Beliebt Rechnen >

derivative e^{7/u}

Lösung

ableitung von

e^{\frac{7}{u}}

Lösung

- \frac{7 e ^{\frac{7}{u}}}{u ^{2}}

Schritte zur Lösung

\frac{d}{d u} (e^{\frac{7}{u}})

Wende die Kettenregel an:

e^{\frac{7}{u}} \frac{d}{d u} (\frac{7}{u})

= e^{\frac{7}{u}} \frac{d}{d u} (\frac{7}{u})

\frac{d}{d u} (\frac{7}{u}) = - \frac{7}{u ^{2}}

= e^{\frac{7}{u}} (- \frac{7}{u ^{2}})

Vereinfache

e^{\frac{7}{u}} (- \frac{7}{u ^{2}}) : - \frac{7 e ^{\frac{7}{u}}}{u ^{2}}

= - \frac{7 e ^{\frac{7}{u}}}{u ^{2}}

Graph

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