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Beliebt Rechnen >

(\partial)/(\partial y)(4x^3y^3+4)

Lösung

\frac{\partial}{\partial y} (4 x^{3} y^{3} + 4)

Lösung

12 x^{3} y^{2}

Schritte zur Lösung

\frac{\partial}{\partial y} (4 x^{3} y^{3} + 4)

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (4 x^{3} y^{3}) + \frac{\partial}{\partial y} (4)

\frac{\partial}{\partial y} (4 x^{3} y^{3}) = 12 x^{3} y^{2}

\frac{\partial}{\partial y} (4) = 0

= 12 x^{3} y^{2} + 0

Vereinfache

= 12 x^{3} y^{2}

Beliebte Beispiele

integral from-1 to 3 of |4-x^2|

\int_{- 1}^{3} 4 - x^{2} d x

fläche y= 3/x ,y=7x,y= 1/7 x

a re a y = \frac{3}{x}, y = 7 x, y = \frac{1}{7} x

derivative f(x)=((x^2-6x))/(x+1)

d er i v a t i v e f (x) = \frac{( x ^{2} - 6 x )}{x + 1}

derivative of e^{x/a}

\frac{d}{d x} (e^{\frac{x}{a}})

integral of xe^{-1/2 x}

\int x e^{- \frac{1}{2} x} d x