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Beliebt Rechnen >

derivative 4x+6/(7x)

Lösung

ableitung von

4 x + \frac{6}{7 x}

Lösung

4 - \frac{6}{7 x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (4 x + \frac{6}{7 x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 x) + \frac{d}{d x} (\frac{6}{7 x})

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

\frac{d}{d x} (\frac{6}{7 x}) = - \frac{6}{7 x ^{2}}

= 4 - \frac{6}{7 x ^{2}}

Graph

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