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Beliebt Rechnen >

(\partial)/(\partial y)(y^{2/3})

Lösung

\frac{\partial}{\partial y} (y^{\frac{2}{3}})

Lösung

\frac{2}{3 y ^{\frac{1}{3}}}

Schritte zur Lösung

\frac{\partial}{\partial y} (y^{\frac{2}{3}})

Wende die Potenzregel an:

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

= \frac{2}{3} y^{\frac{2}{3} - 1}

Vereinfache

\frac{2}{3} y^{\frac{2}{3} - 1} : \frac{2}{3 y ^{\frac{1}{3}}}

= \frac{2}{3 y ^{\frac{1}{3}}}

Beliebte Beispiele

derivative of ln(6x^2)

\frac{d}{d x} (ln (6 x^{2}))

t y^{^{'}} + 3 y = 0

(\partial)/(\partial y)(zln(y)+e^2)

\frac{\partial}{\partial y} (z ln (y) + e^{2})

derivative of-xe^{y/x}

\frac{d}{d x} (- x e^{\frac{y}{x}})

integral from 0 to pi/2 of cot(x)

\int_{0}^{\frac{π}{2}} cot (x) d x