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Beliebt Rechnen >

(sqrt(x^2-1))^'

Lösung

(x^{2} - 1)^{^{'}}

Lösung

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

Schritte zur Lösung

(x^{2} - 1)^{'}

Wende die Kettenregel an:

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

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

(x^{2} - 1)^{'} = 2 x

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

Vereinfache

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

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

Graph

Beliebte Beispiele

derivative of f(x)=-9

\frac{d}{d x} f (x) = - 9

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

\frac{d}{d x} (\frac{x}{3 x ^{2} + 1})

(cos^{4} (x))^{^{'}}

limit as x approaches 0 of (sin(-4x))/x

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

integral of (x^6)/(sqrt(x^{14)-9)}

\int \frac{x ^{6}}{x ^{14} - 9} d x