derivative (x^3)/3+3/(x^3)

Lösung

ableitung von

\frac{x ^{3}}{3} + \frac{3}{x ^{3}}

x^{2} - \frac{9}{x ^{4}}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= x^{2} - \frac{9}{x ^{4}}

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