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Beliebt Rechnen >

d/(du)(sqrt((u-1)/(u+1)))

Lösung

\frac{d}{d u} (\frac{u - 1}{u + 1})

Lösung

\frac{1}{u - 1 ( u + 1 ) ^{\frac{3}{2}}}

Schritte zur Lösung

\frac{d}{d u} (\frac{u - 1}{u + 1})

Wende die Kettenregel an:

\frac{1}{2 \frac{u - 1}{u + 1}} \frac{d}{d u} (\frac{u - 1}{u + 1})

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

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

= \frac{1}{2 \frac{u - 1}{u + 1}} \cdot \frac{2}{( u + 1 ) ^{2}}

Vereinfache

\frac{1}{2 \frac{u - 1}{u + 1}} \cdot \frac{2}{( u + 1 ) ^{2}} : \frac{1}{u - 1 ( u + 1 ) ^{\frac{3}{2}}}

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

Graph

Beliebte Beispiele

(d^2y)/(dx^2)-(dy)/(dx)-30y=0

\frac{d ^{2} y}{d x ^{2}} - \frac{d y}{d x} - 30 y = 0

derivative of sin^3(cos(7x^2))

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(dy)/(dt)-2y=3e^t

\frac{d y}{d t} - 2 y = 3 e^{t}

integral of sin^2(5x)cos^4(5x)

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\int_{- 3}^{3} 9 x^{2} d x