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Beliebt Rechnen >

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

Lösung

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

Lösung

2 y^{2} x - 1

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 2 y^{2} x - 1

Beliebte Beispiele

derivative of ln^2(3*3^x)

\frac{d}{d x} (ln^{2} (3) \cdot 3^{x})

limit as x approaches 2 of (3x-2)/(1-2x)

x \to 2 lim (\frac{3 x - 2}{1 - 2 x})

x(dv}{dx}=2v+\frac{10)/v

x \frac{d v}{d x} = 2 v + \frac{10}{v}

limit as x approaches 7 of x^2-4x+18

x \to 7 lim (x^{2} - 4 x + 18)

integral of (1x)/2

\int \frac{1 x}{2} d x