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Beliebt Rechnen >

derivative-6/(x^2)-5/x

Lösung

ableitung von

- \frac{6}{x ^{2}} - \frac{5}{x}

Lösung

\frac{12}{x ^{3}} + \frac{5}{x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (- \frac{6}{x ^{2}} - \frac{5}{x})

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (\frac{6}{x ^{2}}) - \frac{d}{d x} (\frac{5}{x})

\frac{d}{d x} (\frac{6}{x ^{2}}) = - \frac{12}{x ^{3}}

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

= - (- \frac{12}{x ^{3}}) - (- \frac{5}{x ^{2}})

Vereinfache

= \frac{12}{x ^{3}} + \frac{5}{x ^{2}}

Graph

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