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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende die Potenzregel an:

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

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

Vereinfache

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

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

Beliebte Beispiele

(y^'-e^{-t}+3)/y =-3,y(0)=4

\frac{y ^{^{'}} - e ^{- t} + 3}{y} = - 3, y (0) = 4

y^{''}-3y^'-4y=2sin(t)

y^{^{''}} - 3 y^{^{'}} - 4 y = 2 sin (t)

derivative of 5xcos(x)

\frac{d}{d x} (5 x cos (x))

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x \to 0 + lim (3 - x)

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\frac{d}{d x} (3 sin (x) + 3 cos (x))