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Beliebt Rechnen >

derivative 1.1e^{0.78t}

Lösung

ableitung von

1.1 e^{0.78 t}

Lösung

0.858 e^{0.78 t}

Schritte zur Lösung

\frac{d}{d t} (1.1 e^{0.78 t})

Entferne die Konstante:

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

= 1.1 \frac{d}{d t} (e^{0.78 t})

Wende die Kettenregel an:

e^{0.78 t} \frac{d}{d t} (0.78 t)

= e^{0.78 t} \frac{d}{d t} (0.78 t)

\frac{d}{d t} (0.78 t) = 0.78

= 1.1 e^{0.78 t} \cdot 0.78

Vereinfache

= 0.858 e^{0.78 t}

Graph

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