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Beliebt Rechnen >

derivative of x^2+x^{-2}

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Graph

Beliebte Beispiele

y^{''}+3y^'+2y=0,y(0)=1,y^'(0)=0

y^{^{''}} + 3 y^{^{'}} + 2 y = 0, y (0) = 1, y^{^{'}} (0) = 0

fläche y=-x^2+7x,y=x^2-3x

a re a y = - x^{2} + 7 x, y = x^{2} - 3 x

integral of e^{x^3}6x^2

\int e^{x^{3}} 6 x^{2} d x

integral of (2x+3)/(9-4x^2)

\int \frac{2 x + 3}{9 - 4 x ^{2}} d x

limit as x approaches 0 of ((6^x-4^x))/x

x \to 0 lim (\frac{( 6 ^{x} - 4 ^{x} )}{x})