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Beliebt Rechnen >

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

Lösung

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

Lösung

- \frac{1}{x ^{2}} - \frac{4}{x ^{3}}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (\frac{2}{x ^{2}}) = - \frac{4}{x ^{3}}

= - \frac{1}{x ^{2}} - \frac{4}{x ^{3}}

Graph

Beliebte Beispiele

derivative of (cos(x)^{ln(x)})

\frac{d}{d x} ((cos (x))^{l n (x)})

derivative sqrt(2+x)

d er i v a t i v e 2 + x

derivative 1/(4y^2)

d er i v a t i v e \frac{1}{4 y ^{2}}

integral from 0 to 1 of-3(x^2+1)e^{-x}

\int_{0}^{1} - 3 (x^{2} + 1) e^{- x} d x

integral of 21sin^2(xco)s^2x

\int 21 sin^{2} (x co) s^{2} x