(\partial)/(\partial y)(ln(x^6y))

Lösung

\frac{\partial}{\partial y} (ln (x^{6} y))

\frac{1}{y}

Schritte zur Lösung

\frac{\partial}{\partial y} (ln (x^{6} y))

Behandle

x

als Konstante

Wende die Kettenregel an:

\frac{1}{x ^{6} y} \frac{\partial}{\partial y} (x^{6} y)

= \frac{1}{x ^{6} y} \frac{\partial}{\partial y} (x^{6} y)

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

= \frac{1}{x ^{6} y} x^{6}

Vereinfache

\frac{1}{x ^{6} y} x^{6} : \frac{1}{y}

= \frac{1}{y}

n = 0 \sum \infty (\frac{2}{3})^{n}

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