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Beliebt Rechnen >

(\partial)/(\partial x)(2x^2-2xy^2)

Lösung

\frac{\partial}{\partial x} (2 x^{2} - 2 x y^{2})

Lösung

4 x - 2 y^{2}

Schritte zur Lösung

\frac{\partial}{\partial x} (2 x^{2} - 2 x y^{2})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 4 x - 2 y^{2}

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integral of sqrt((x+3)/(x-1))

\int \frac{x + 3}{x - 1} d x

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\int_{0}^{4} x^{2} + 1 d x

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d/(dy)(y/(x^2+y^2))

\frac{d}{d y} (\frac{y}{x ^{2} + y ^{2}})