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Beliebt Rechnen >

(d^3)/(dx^3)(1/(1+x))

Lösung

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

Lösung

- \frac{6}{( 1 + x ) ^{4}}

Schritte zur Lösung

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

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

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

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

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

\frac{d}{d x} (\frac{2}{( 1 + x ) ^{3}}) = - \frac{6}{( 1 + x ) ^{4}}

= - \frac{6}{( 1 + x ) ^{4}}

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