derivative e^{1/2 x}

Lösung

ableitung von

e^{\frac{1}{2} x}

e^{\frac{x}{2}} \frac{1}{2}

Schritte zur Lösung

\frac{d}{d x} (e^{\frac{1}{2} x})

Vereinfache

e^{\frac{1}{2} x} : e^{\frac{x}{2}}

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (\frac{x}{2}) = \frac{1}{2}

= e^{\frac{x}{2}} \frac{1}{2}

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