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Beliebt Rechnen >

derivative ln(8x+9)

Lösung

ableitung von

ln (8 x + 9)

Lösung

\frac{8}{8 x + 9}

Schritte zur Lösung

\frac{d}{d x} (ln (8 x + 9))

Wende die Kettenregel an:

\frac{1}{8 x + 9} \frac{d}{d x} (8 x + 9)

= \frac{1}{8 x + 9} \frac{d}{d x} (8 x + 9)

\frac{d}{d x} (8 x + 9) = 8

= \frac{1}{8 x + 9} \cdot 8

Vereinfache

\frac{1}{8 x + 9} \cdot 8 : \frac{8}{8 x + 9}

= \frac{8}{8 x + 9}

Graph

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