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Beliebt Rechnen >

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

Lösung

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

Lösung

6 x y^{2}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 6 y^{2} x + 0

Vereinfache

= 6 x y^{2}

Beliebte Beispiele

integral of 1/(10x-3)

derivative y=(3x-1)(-3x^2-4)^{-3}

integral of sec^2(x)sec(x)

y^{''}+2y^'+2y=0,y(0)=2,y^'(0)=1

derivative-(x^3)/9