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Beliebt Rechnen >

derivative e^{4/5 x}

Lösung

ableitung von

e^{\frac{4}{5} x}

Lösung

e^{\frac{4 x}{5}} \frac{4}{5}

Schritte zur Lösung

\frac{d}{d x} (e^{\frac{4}{5} x})

Vereinfache

e^{\frac{4}{5} x} : e^{\frac{4 x}{5}}

= \frac{d}{d x} (e^{\frac{4 x}{5}})

Wende die Kettenregel an:

e^{\frac{4 x}{5}} \frac{d}{d x} (\frac{4 x}{5})

= e^{\frac{4 x}{5}} \frac{d}{d x} (\frac{4 x}{5})

\frac{d}{d x} (\frac{4 x}{5}) = \frac{4}{5}

= e^{\frac{4 x}{5}} \frac{4}{5}

Graph

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