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Beliebt Rechnen >

derivative of 1/(sqrt(1-x))

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende Exponentenregel an:

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

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

Graph

Beliebte Beispiele

integral of coth^2(x)

\int coth^{2} (x) d x

integral of 1/(9-x^2)

\int \frac{1}{9 - x ^{2}} d x

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\int e^{- k N x} d x

erweitern 2(x-6)^3

e x p an d 2 (x - 6)^{3}

limit as z approaches 0 of z^3cos(1/z)

z \to 0 lim (z^{3} cos (\frac{1}{z}))