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Beliebt Rechnen >

derivative 2e^{3t}

Lösung

ableitung von

2 e^{3 t}

Lösung

6 e^{3 t}

Schritte zur Lösung

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Kettenregel an:

e^{3 t} \frac{d}{d t} (3 t)

= e^{3 t} \frac{d}{d t} (3 t)

\frac{d}{d t} (3 t) = 3

= 2 e^{3 t} \cdot 3

Vereinfache

= 6 e^{3 t}

Graph

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