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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

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

- 2 x y

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= - 2 x y

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