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Beliebt Rechnen >

derivative y=x+2/x

Lösung

ableitung von

y = x + \frac{2}{x}

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d x}{d x} = 1

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

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

Graph

Beliebte Beispiele

inverselaplace 1/((s+3)^3)

in v erse l a pl a ce \frac{1}{( s + 3 ) ^{3}}

derivative of xsin^2(x)

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

derivative g(t)=4t^{-3/8}

d er i v a t i v e g (t) = 4 t^{- \frac{3}{8}}

integral of 1/(x^2sqrt(x^2-36))

\int \frac{1}{x ^{2} x ^{2} - 36} d x

taylor 1/(x-1),7

t a y l or \frac{1}{x - 1}, 7