What is (\partial)/(\partial y)(2xy+y^4) ?

The answer to (\partial)/(\partial y)(2xy+y^4) is 2x+4y^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial y)(2xy+y^4)

\frac{\partial}{\partial y} (2 x y + y^{4})

2 x + 4 y^{3}

Solution steps

\frac{\partial}{\partial y} (2 x y + y^{4})

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial y} (2 x y) + \frac{\partial}{\partial y} (y^{4})

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

\frac{\partial}{\partial y} (y^{4}) = 4 y^{3}

= 2 x + 4 y^{3}

What is (\partial)/(\partial y)(2xy+y^4) ?
The answer to (\partial)/(\partial y)(2xy+y^4) is 2x+4y^3