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Beliebt Rechnen >

derivative of 3/(x^3+x^{-4})

Lösung

\frac{d}{d x} (\frac{3}{x ^{3}} + x^{- 4})

Lösung

- \frac{9}{x ^{4}} - \frac{4}{x ^{5}}

Schritte zur Lösung

\frac{d}{d x} (\frac{3}{x ^{3}} + x^{- 4})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{3}{x ^{3}}) + \frac{d}{d x} (x^{- 4})

\frac{d}{d x} (\frac{3}{x ^{3}}) = - \frac{9}{x ^{4}}

\frac{d}{d x} (x^{- 4}) = - \frac{4}{x ^{5}}

= - \frac{9}{x ^{4}} - \frac{4}{x ^{5}}

Graph

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