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Beliebt Rechnen >

derivative 2x+5/x

Lösung

ableitung von

2 x + \frac{5}{x}

Lösung

2 - \frac{5}{x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (2 x + \frac{5}{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2 x) + \frac{d}{d x} (\frac{5}{x})

\frac{d}{d x} (2 x) = 2

\frac{d}{d x} (\frac{5}{x}) = - \frac{5}{x ^{2}}

= 2 - \frac{5}{x ^{2}}

Graph

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