derivative sqrt(3/(x-1))

Lösung

ableitung von

\frac{3}{x - 1}

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

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