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Beliebt Rechnen >

derivative ln(sqrt(x+5))

Lösung

ableitung von

ln (x + 5)

Lösung

\frac{1}{2 ( x + 5 )}

Schritte zur Lösung

\frac{d}{d x} (ln (x + 5))

Wende die Kettenregel an:

\frac{1}{x + 5} \frac{d}{d x} (x + 5)

= \frac{1}{x + 5} \frac{d}{d x} (x + 5)

\frac{d}{d x} (x + 5) = \frac{1}{2 x + 5}

= \frac{1}{x + 5} \cdot \frac{1}{2 x + 5}

Vereinfache

\frac{1}{x + 5} \cdot \frac{1}{2 x + 5} : \frac{1}{2 ( x + 5 )}

= \frac{1}{2 ( x + 5 )}

Graph

Beliebte Beispiele

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