derivative of 5/(x^5+3/(x^2))

Lösung

\frac{d}{d x} (\frac{5}{x ^{5}} + \frac{3}{x ^{2}})

- \frac{25}{x ^{6}} - \frac{6}{x ^{3}}

Schritte zur Lösung

\frac{d}{d x} (\frac{5}{x ^{5}} + \frac{3}{x ^{2}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{5}{x ^{5}}) + \frac{d}{d x} (\frac{3}{x ^{2}})

\frac{d}{d x} (\frac{5}{x ^{5}}) = - \frac{25}{x ^{6}}

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

= - \frac{25}{x ^{6}} - \frac{6}{x ^{3}}

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