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Beliebt Rechnen >

derivative of 3x-ln(3x+1)

Lösung

\frac{d}{d x} (3 x - ln (3 x + 1))

Lösung

3 - \frac{3}{3 x + 1}

Schritte zur Lösung

\frac{d}{d x} (3 x - ln (3 x + 1))

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

= 3 - \frac{3}{3 x + 1}

Graph

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