(\partial)/(\partial x)(ln(6xyz))

Lösung

\frac{\partial}{\partial x} (ln (6 x yz))

\frac{1}{x}

Schritte zur Lösung

\frac{\partial}{\partial x} (ln (6 x yz))

Behandle

y, z

als Konstanten

Wende die Kettenregel an:

\frac{1}{6 x yz} \frac{\partial}{\partial x} (6 x yz)

= \frac{1}{6 x yz} \frac{\partial}{\partial x} (6 x yz)

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

= \frac{1}{6 x yz} \cdot 6 yz

Vereinfache

\frac{1}{6 x yz} \cdot 6 yz : \frac{1}{x}

= \frac{1}{x}

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