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Beliebt Rechnen >

derivative (40ln(3x+1))-(x/3)

Lösung

ableitung von

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

Lösung

\frac{120}{3 x + 1} - \frac{1}{3}

Schritte zur Lösung

\frac{d}{d x} (40 ln (3 x + 1) - \frac{x}{3})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (40 ln (3 x + 1)) - \frac{d}{d x} (\frac{x}{3})

\frac{d}{d x} (40 ln (3 x + 1)) = \frac{120}{3 x + 1}

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

= \frac{120}{3 x + 1} - \frac{1}{3}

Graph

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