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Beliebt Rechnen >

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

Lösung

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

Lösung

4 x y

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial x} (4 y^{3}) = 0

= 4 y x + 0

Vereinfache

= 4 x y

Beliebte Beispiele

derivative y=(x+1/x)(x-1/x+1)

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\int_{0}^{1} 9 e^{- 4 x} d x

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