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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

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

3 x y^{2}

Solution steps

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

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

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

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

\frac{\partial}{\partial y} (x^{2}) = 0

= 3 x y^{2} - 0

Simplify

= 3 x y^{2}

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