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Beliebt Rechnen >

derivative of sqrt(x^2-x)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

\frac{1}{2 x ^{2} - x} (2 x - 1) : \frac{2 x - 1}{2 x ^{2} - x}

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

Graph

Beliebte Beispiele

integral of tan^2(x)an(x)

\int tan^{2} (x) d tan (x) d x

integral of 25-x^2

\int 25 - x^{2} d x

limit as z approaches 0 of 8/(z^3)+2/z+2

z \to 0 lim (\frac{8}{z ^{3}} + \frac{2}{z} + 2)

fläche y= 9/(x^2),y=10-x^2,y=12

a re a y = \frac{9}{x ^{2}}, y = 10 - x^{2}, y = 12

(dy)/(dx)-y/(2x)=3x

\frac{d y}{d x} - \frac{y}{2 x} = 3 x