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Beliebt Rechnen >

(d^2)/(dx^2)(x/(x^2-9))

Lösung

\frac{d ^{2}}{d x ^{2}} (\frac{x}{x ^{2} - 9})

Lösung

- \frac{2 x ( - x ^{2} - 27 )}{( x ^{2} - 9 ) ^{3}}

Schritte zur Lösung

\frac{d ^{2}}{d x ^{2}} (\frac{x}{x ^{2} - 9})

\frac{d}{d x} (\frac{x}{x ^{2} - 9}) = \frac{- x ^{2} - 9}{( x ^{2} - 9 ) ^{2}}

= \frac{d}{d x} (\frac{- x ^{2} - 9}{( x ^{2} - 9 ) ^{2}})

\frac{d}{d x} (\frac{- x ^{2} - 9}{( x ^{2} - 9 ) ^{2}}) = - \frac{2 x ( - x ^{2} - 27 )}{( x ^{2} - 9 ) ^{3}}

= - \frac{2 x ( - x ^{2} - 27 )}{( x ^{2} - 9 ) ^{3}}

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