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Beliebt Rechnen >

derivative of ln(3x+4)

Lösung

\frac{d}{d x} (ln (3 x + 4))

Lösung

\frac{3}{3 x + 4}

Schritte zur Lösung

\frac{d}{d x} (ln (3 x + 4))

Wende die Kettenregel an:

\frac{1}{3 x + 4} \frac{d}{d x} (3 x + 4)

= \frac{1}{3 x + 4} \frac{d}{d x} (3 x + 4)

\frac{d}{d x} (3 x + 4) = 3

= \frac{1}{3 x + 4} \cdot 3

Vereinfache

\frac{1}{3 x + 4} \cdot 3 : \frac{3}{3 x + 4}

= \frac{3}{3 x + 4}

Graph

Beliebte Beispiele

derivative ln(t^2+6)

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