derivative of-8/(x^3+2/(x^2))

Lösung

\frac{d}{d x} (- \frac{8}{x ^{3}} + \frac{2}{x ^{2}})

\frac{24}{x ^{4}} - \frac{4}{x ^{3}}

Schritte zur Lösung

\frac{d}{d x} (- \frac{8}{x ^{3}} + \frac{2}{x ^{2}})

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (\frac{8}{x ^{3}}) + \frac{d}{d x} (\frac{2}{x ^{2}})

\frac{d}{d x} (\frac{8}{x ^{3}}) = - \frac{24}{x ^{4}}

\frac{d}{d x} (\frac{2}{x ^{2}}) = - \frac{4}{x ^{3}}

= - (- \frac{24}{x ^{4}}) - \frac{4}{x ^{3}}

Vereinfache

= \frac{24}{x ^{4}} - \frac{4}{x ^{3}}

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