What is (\partial)/(\partial x)(2x^4y+16y^3) ?

The answer to (\partial)/(\partial x)(2x^4y+16y^3) is 8x^3y

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial x)(2x^4y+16y^3)

\frac{\partial}{\partial x} (2 x^{4} y + 16 y^{3})

8 x^{3} y

Solution steps

\frac{\partial}{\partial x} (2 x^{4} y + 16 y^{3})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (2 x^{4} y) + \frac{\partial}{\partial x} (16 y^{3})

\frac{\partial}{\partial x} (2 x^{4} y) = 8 y x^{3}

\frac{\partial}{\partial x} (16 y^{3}) = 0

= 8 y x^{3} + 0

Simplify

= 8 x^{3} y

What is (\partial)/(\partial x)(2x^4y+16y^3) ?
The answer to (\partial)/(\partial x)(2x^4y+16y^3) is 8x^3y