de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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)

\frac{d}{d x} (1 - cos (3 x))

limit as x approaches-4-of x+4

x \to - 4 - lim (x + 4)

integral of sec^2(x)

\int sec^{2} (x) d x

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

\frac{d}{d x} (\frac{x}{1 - ln ( x - 7 )})

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

x \to - 2 + lim (\frac{x ^{2}}{x + 2})