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Beliebt Rechnen >

(\partial)/(\partial y)(3x^2y^2-1)

Lösung

\frac{\partial}{\partial y} (3 x^{2} y^{2} - 1)

Lösung

6 x^{2} y

Schritte zur Lösung

\frac{\partial}{\partial y} (3 x^{2} y^{2} - 1)

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (3 x^{2} y^{2}) - \frac{\partial}{\partial y} (1)

\frac{\partial}{\partial y} (3 x^{2} y^{2}) = 6 x^{2} y

\frac{\partial}{\partial y} (1) = 0

= 6 x^{2} y - 0

Vereinfache

= 6 x^{2} y

Beliebte Beispiele

integral of 3x*sin^2(x)

\int 3 x \cdot sin^{2} (x) d x

(\partial)/(\partial x)(xye^{-1y})

\frac{\partial}{\partial x} (x y e^{- 1 y})

a re a x^{3}, 4 x

derivative of sqrt(x-arccos(x+1))

\frac{d}{d x} (x - arccos (x + 1))

fläche y=(7t-4),(0,3)

a re a y = (7 t - 4), (0, 3)