derivative of e^{(3x/2})

Lösung

\frac{d}{d x} (e^{\frac{3 x}{2}})

e^{\frac{3 x}{2}} \frac{3}{2}

Schritte zur Lösung

\frac{d}{d x} (e^{\frac{3 x}{2}})

Wende die Kettenregel an:

e^{\frac{3 x}{2}} \frac{d}{d x} (\frac{3 x}{2})

= e^{\frac{3 x}{2}} \frac{d}{d x} (\frac{3 x}{2})

\frac{d}{d x} (\frac{3 x}{2}) = \frac{3}{2}

= e^{\frac{3 x}{2}} \frac{3}{2}

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