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Beliebt Rechnen >

derivative y=sqrt((x-1)/(x+1))

Lösung

ableitung von

y = \frac{x - 1}{x + 1}

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Graph

Beliebte Beispiele

integral of ((4x-11))/((x^3-9x^2))

\int \frac{( 4 x - 11 )}{( x ^{3} - 9 x ^{2} )} d x

derivative of cos(wt+sin(wt))

\frac{d}{d x} (cos (wt) + sin (wt))

sum from n=5 to infinity of 1/(n+25)

n = 5 \sum \infty \frac{1}{n + 25}

y^'=ky(4000-y),y(0)=150

y^{^{'}} = k y (4000 - y), y (0) = 150

derivative of 5/(x-4)

\frac{d}{d x} (\frac{5}{x - 4})