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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende Exponentenregel an:

\frac{1}{a} = a^{- 1}

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

Graph

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