derivative y=e^{8/9 x}

Lösung

ableitung von

y = e^{\frac{8}{9} x}

e^{\frac{8 x}{9}} \frac{8}{9}

Schritte zur Lösung

\frac{d}{d x} (e^{\frac{8}{9} x})

Vereinfache

e^{\frac{8}{9} x} : e^{\frac{8 x}{9}}

= \frac{d}{d x} (e^{\frac{8 x}{9}})

Wende die Kettenregel an:

e^{\frac{8 x}{9}} \frac{d}{d x} (\frac{8 x}{9})

= e^{\frac{8 x}{9}} \frac{d}{d x} (\frac{8 x}{9})

\frac{d}{d x} (\frac{8 x}{9}) = \frac{8}{9}

= e^{\frac{8 x}{9}} \frac{8}{9}

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