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Beliebt Rechnen >

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

Lösung

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

Lösung

y

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Kettenregel an:

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

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

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

= \frac{1}{2 x ^{2} y ^{2}} \cdot 2 y^{2} x

Vereinfache

\frac{1}{2 x ^{2} y ^{2}} \cdot 2 y^{2} x : y

= y

Beliebte Beispiele

derivative of 1-cos(3x)

limit as x approaches-4-of x+4

integral of sec^2(x)

derivative of x/(1-ln(x-7))

limit as x approaches-2+of (x^2)/(x+2)