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Beliebt Rechnen >

(\partial)/(\partial u)(ln(ucos(v)))

Lösung

\frac{\partial}{\partial u} (ln (u cos (v)))

Lösung

\frac{1}{u}

Schritte zur Lösung

\frac{\partial}{\partial u} (ln (u cos (v)))

Behandle

v

als Konstante

Wende die Kettenregel an:

\frac{1}{u cos ( v )} \frac{\partial}{\partial u} (u cos (v))

= \frac{1}{u cos ( v )} \frac{\partial}{\partial u} (u cos (v))

\frac{\partial}{\partial u} (u cos (v)) = cos (v)

= \frac{1}{u cos ( v )} cos (v)

Vereinfache

\frac{1}{u cos ( v )} cos (v) : \frac{1}{u}

= \frac{1}{u}

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