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Beliebt Rechnen >

(\partial)/(\partial y)(3x^4y^2+1)

Lösung

\frac{\partial}{\partial y} (3 x^{4} y^{2} + 1)

Lösung

6 x^{4} y

Schritte zur Lösung

\frac{\partial}{\partial y} (3 x^{4} y^{2} + 1)

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial y} (3 x^{4} y^{2}) + \frac{\partial}{\partial y} (1)

\frac{\partial}{\partial y} (3 x^{4} y^{2}) = 6 x^{4} y

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

= 6 x^{4} y + 0

Vereinfache

= 6 x^{4} y

Beliebte Beispiele

integral from-2 to 3 of (22)/(x^4)

\int_{- 2}^{3} \frac{22}{x ^{4}} d x

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integral of 343x^2cos(7x)

\int 343 x^{2} cos (7 x) d x

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integral of 8cos^4(θ)sin(θ)

\int 8 cos^{4} (θ) sin (θ) d θ