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Beliebt Rechnen >

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

Lösung

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

Lösung

2 x

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial x} (4 y^{2}) = 0

= 2 x + 0

Vereinfache

= 2 x

Beliebte Beispiele

integral of sin(x)cos(x)x

limit as x approaches 1+of (5x+6)/(x-1)

fläche x=-5,x=1,y=7x,y=x^2-8

tangent t^3+1t,\at t=1

(\partial)/(\partial u)(3yuxuv^3-2)