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Beliebt Rechnen >

(d^2)/(dx^2)(x/(x-1))

Lösung

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

Lösung

\frac{2}{( x - 1 ) ^{3}}

Schritte zur Lösung

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

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

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

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

= \frac{2}{( x - 1 ) ^{3}}

Beliebte Beispiele

limit as x approaches 0+of \sqrt[3]{x}

x \to 0 + lim (3 x)

fläche e^x-2,0<= x<= 2

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\int \frac{x}{x ^{4} + 5} d x

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\int (2 sin (x) + 3 cos (x)) d x

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\int_{1}^{\infty} \frac{1}{x ^{9}} d x