de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(\partial)/(\partial y)(sqrt(xyz))

Lösung

\frac{\partial}{\partial y} (x yz)

Lösung

\frac{x z}{2 y}

Schritte zur Lösung

\frac{\partial}{\partial y} (x yz)

Behandle

x, z

als Konstanten

Wende die Kettenregel an:

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

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

\frac{\partial}{\partial y} (x yz) = x z

= \frac{1}{2 x yz} x z

Vereinfache

\frac{1}{2 x yz} x z : \frac{x z}{2 y}

= \frac{x z}{2 y}

Beliebte Beispiele

derivative of-9/((1+3x^2))

\frac{d}{d x} (- \frac{9}{( 1 + 3 x ) ^{2}})

fläche y=x^3-3x^2+3x,y=x

a re a y = x^{3} - 3 x^{2} + 3 x, y = x

derivative of x^2-7x+12

\frac{d}{d x} (x^{2} - 7 x + 12)

derivative of (e^{x/2}/(x+1))

\frac{d}{d x} (\frac{e ^{\frac{x}{2}}}{x + 1})

integral from 1 to 4 of 6/(x^2)

\int_{1}^{4} \frac{6}{x ^{2}} d x