What is (\partial)/(\partial x)(x^2*y^2) ?

The answer to (\partial)/(\partial x)(x^2*y^2) is 2xy^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

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

2 x y^{2}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 2 x y^{2}

What is (\partial)/(\partial x)(x^2*y^2) ?
The answer to (\partial)/(\partial x)(x^2*y^2) is 2xy^2