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Beliebt Rechnen >

derivative of 2x+6/x

Lösung

\frac{d}{d x} (2 x + \frac{6}{x})

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (2 x + \frac{6}{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2 x) + \frac{d}{d x} (\frac{6}{x})

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

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

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

Graph

Beliebte Beispiele

integral of x/(2x+1)

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

derivative-ln(cos(x))

d er i v a t i v e - ln (cos (x))

integral of 2(sin(x)-cos(x)+x)

\int 2 (sin (x) - cos (x) + x) d x

integral from 2 to x of sqrt(1+t^2)

\int_{2}^{x} 1 + t^{2} d t

derivative y=(ax+b)^6

d er i v a t i v e y = (a x + b)^{6}