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Beliebt Rechnen >

derivative f(x)=1-1/(x^2)

Lösung

ableitung von

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

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Vereinfache

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

Graph

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