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Beliebt Rechnen >

derivative of ((x-1/(x+1))^3)

Lösung

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

Lösung

\frac{6 ( x - 1 ) ^{2}}{( x + 1 ) ^{4}}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

3 (\frac{x - 1}{x + 1})^{2} \frac{2}{( x + 1 ) ^{2}} : \frac{6 ( x - 1 ) ^{2}}{( x + 1 ) ^{4}}

= \frac{6 ( x - 1 ) ^{2}}{( x + 1 ) ^{4}}

Graph

Beliebte Beispiele

integral of 5x^{15}e^{-x^8}

\int 5 x^{15} e^{- x^{8}} d x

integral of 1/(x(ln(x))^6)

\int \frac{1}{x ( ln ( x ) ) ^{6}} d x

inverselaplace (4s)/((s+1)^2)

in v erse l a pl a ce \frac{4 s}{( s + 1 ) ^{2}}

derivative of 3x^2+e^2x+pi^2

\frac{d}{d x} (3 x^{2} + e^{2} x + π^{2})

derivative f(x)=x^8-9e^{3x}

d er i v a t i v e f (x) = x^{8} - 9 e^{3 x}