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Beliebt Rechnen >

derivative of 1+4/x

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (1) = 0

\frac{d}{d x} (\frac{4}{x}) = - \frac{4}{x ^{2}}

= 0 - \frac{4}{x ^{2}}

Vereinfache

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

Graph

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