(\partial)/(\partial x)(5e^{6x})

Lösung

\frac{\partial}{\partial x} (5 e^{6 x})

30 e^{6 x}

Schritte zur Lösung

\frac{\partial}{\partial x} (5 e^{6 x})

Entferne die Konstante:

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

= 5 \frac{\partial}{\partial x} (e^{6 x})

Wende die Kettenregel an:

e^{6 x} \frac{\partial}{\partial x} (6 x)

= e^{6 x} \frac{\partial}{\partial x} (6 x)

\frac{\partial}{\partial x} (6 x) = 6

= 5 e^{6 x} \cdot 6

Vereinfache

= 30 e^{6 x}

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