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Beliebt Rechnen >

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

Lösung

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

Lösung

6 x^{4} y

Schritte zur Lösung

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

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} (3)

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

\frac{\partial}{\partial y} (3) = 0

= 6 x^{4} y + 0

Vereinfache

= 6 x^{4} y

Beliebte Beispiele

y^{3} y^{^{'}} + x^{3} = 0

t an g e n t x^{2} + 2 x

integral of (6x^2-8x+2)

\int (6 x^{2} - 8 x + 2) d x

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

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

y^{''}+5(dy)/(dx)+6y=2e^x

y^{^{''}} + 5 \frac{d y}{d x} + 6 y = 2 e^{x}