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Beliebt Rechnen >

(\partial)/(\partial y)(3x^2y+2xy^2)

Lösung

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

Lösung

3 x^{2} + 4 x y

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{\partial}{\partial y} (2 x y^{2}) = 4 x y

= 3 x^{2} + 4 x y

Beliebte Beispiele

integral of (2x+1)^2

\int (2 x + 1)^{2} d x

derivative of e^{-x}cos(y+e^{-y}cos(x))

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

integral of (x^2-3)^5(2x)

\int (x^{2} - 3)^{5} (2 x) d x

integral of (cot(x))/(cos(x))

\int \frac{cot ( x )}{cos ( x )} d x

(1 + x) y^{^{'}} = y + x