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

The answer to (\partial)/(\partial x)(x^2y-xy^3) is 2yx-y^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial x)(x^2y-xy^3)

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

2 y x - y^{3}

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

= 2 y x - y^{3}

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