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Beliebt Rechnen >

derivative of 1/x+1

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= - \frac{1}{x ^{2}} + 0

Vereinfache

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

Graph

Beliebte Beispiele

integral from 6 to 10 of 2/(x^3)

\int_{6}^{10} \frac{2}{x ^{3}} d x

integral of 3/((2-x)^2)

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

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

\int \frac{1}{2 + 2 x + x ^{2}} d x

derivative of e^{-xln(2x})

\frac{d}{d x} (e^{- x l n (2 x)})

derivative of (-x+2/(x^3))

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