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

Lösung

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

8 y x + 4 y^{2}

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial x} (4 x^{2} y) = 8 y x

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

= 8 y x + 4 y^{2}

\int \frac{x ^{3}}{( 4 - x ^{4} ) ^{6}} d x

\frac{\partial}{\partial x} (\frac{sin ( x )}{x})

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