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Beliebt Rechnen >

d/(d{x)}({x}^{({y})/({z)}})

Lösung

\frac{d}{d x} (x^{\frac{y}{z}})

Lösung

\frac{y x ^{\frac{y - z}{z}}}{z}

Schritte zur Lösung

\frac{d}{d x} (x^{\frac{y}{z}})

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{y}{z} x^{\frac{y}{z} - 1}

Vereinfache

\frac{y}{z} x^{\frac{y}{z} - 1} : \frac{y x ^{\frac{y - z}{z}}}{z}

= \frac{y x ^{\frac{y - z}{z}}}{z}

Beliebte Beispiele

integral of 7xe^{-x(y+7)}

\int 7 x e^{- x (y + 7)} d x

derivative f(x)=ln(xsqrt(x^2+1))

d er i v a t i v e f (x) = ln (x x^{2} + 1)

f(x)=3sqrt(x)-6x

f (x) = 3 x - 6 x

integral from 1 to x of 1/x

\int_{1}^{x} \frac{1}{x} d x

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

\int 4 sin^{2} (π x) cos^{5} (π x) d x