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Beliebt Rechnen >

derivative of (1-x^{-1/2})

Lösung

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

Lösung

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

Schritte zur Lösung

\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

inverselaplace (900)/(s^2+90s+900)

in v erse l a pl a ce \frac{900}{s ^{2} + 90 s + 900}

integral of 8sqrt(x)+6cos(x)

\int 8 x + 6 cos (x) d x

integral from 0 to x of e^{-u}

\int_{0}^{x} e^{- u} d u

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integral of v^2

\int v^{2} d v