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Beliebt Rechnen >

derivative of 3x^2+2/x

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (3 x^{2}) = 6 x

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

= 6 x - \frac{2}{x ^{2}}

Graph

Beliebte Beispiele

derivative of sqrt(2x-y)

\frac{d}{d x} (2 x - y)

integral of x^2-y^2

\int x^{2} - y^{2} d x

limit as x approaches 2+of sqrt(x/(x-2))

x \to 2 + lim (\frac{x}{x - 2})

limit as x approaches 4 of 3x-1

x \to 4 lim (3 x - 1)

derivative ((x^3-x))/(1+x^2)

d er i v a t i v e \frac{( x ^{3} - x )}{1 + x ^{2}}