(\partial)/(\partial x)(ln(7x))

Lösung

\frac{\partial}{\partial x} (ln (7 x))

\frac{1}{x}

Schritte zur Lösung

\frac{\partial}{\partial x} (ln (7 x))

Wende die Kettenregel an:

\frac{1}{7 x} \frac{\partial}{\partial x} (7 x)

= \frac{1}{7 x} \frac{\partial}{\partial x} (7 x)

\frac{\partial}{\partial x} (7 x) = 7

= \frac{1}{7 x} \cdot 7

Vereinfache

\frac{1}{7 x} \cdot 7 : \frac{1}{x}

= \frac{1}{x}

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