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Beliebt Rechnen >

(\partial)/(\partial x)(x^{1/2})

Lösung

\frac{\partial}{\partial x} (x^{\frac{1}{2}})

Lösung

\frac{1}{2 x ^{\frac{1}{2}}}

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{\frac{1}{2}})

Wende die Potenzregel an:

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

= \frac{1}{2} x^{\frac{1}{2} - 1}

Vereinfache

\frac{1}{2} x^{\frac{1}{2} - 1} : \frac{1}{2 x ^{\frac{1}{2}}}

= \frac{1}{2 x ^{\frac{1}{2}}}

Beliebte Beispiele

derivative of (-8x/(x^2+1))

\frac{d}{d x} (\frac{- 8 x}{x ^{2} + 1})

fläche y=3x^2ln(x),y=12ln(x)

a re a y = 3 x^{2} ln (x), y = 12 ln (x)

integral of (x^2+y^2)

\int (x^{2} + y^{2}) d x

integral of sqrt(4)-x^2

\int 4 - x^{2} d x

integral of xe^{11x}

\int x e^{11 x} d x