What is (\partial)/(\partial y)(xy^3z^2) ?

The answer to (\partial)/(\partial y)(xy^3z^2) is 3xy^2z^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial y)(xy^3z^2)

\frac{\partial}{\partial y} (x y^{3} z^{2})

3 x y^{2} z^{2}

Solution steps

\frac{\partial}{\partial y} (x y^{3} z^{2})

Treat

x, z

as constants

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= x z^{2} \frac{\partial}{\partial y} (y^{3})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= x z^{2} \cdot 3 y^{3 - 1}

Simplify

= 3 x y^{2} z^{2}

\frac{d}{d x} (x^{2} - \frac{2}{x ^{2}})

\frac{\partial}{\partial x} (x \cdot Y (x))

(- 7, - 4), (- 2, 3)

x \to \infty lim (4 - \frac{3}{x})

5 - x^{2}, sin (x), - 2.385, 2.025

What is (\partial)/(\partial y)(xy^3z^2) ?
The answer to (\partial)/(\partial y)(xy^3z^2) is 3xy^2z^2