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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (1) = 0

= - (- \frac{2}{x ^{3}}) + 0

Vereinfache

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

Graph

Beliebte Beispiele

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\int 2 sin (3 x) cos (3 x) d x

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\int 2 x^{2} ln (x) d x

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\int_{0}^{4} 16 - x^{2} d x