derivative of 2x+1/(x^2)

Lösung

\frac{d}{d x} (2 x + \frac{1}{x ^{2}})

2 - \frac{2}{x ^{3}}

Schritte zur Lösung

\frac{d}{d x} (2 x + \frac{1}{x ^{2}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2 x) + \frac{d}{d x} (\frac{1}{x ^{2}})

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

\frac{d}{d x} (\frac{1}{x ^{2}}) = - \frac{2}{x ^{3}}

= 2 - \frac{2}{x ^{3}}

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