What is (\partial)/(\partial x)(11x^2y+8xy^3) ?

The answer to (\partial)/(\partial x)(11x^2y+8xy^3) is 22yx+8y^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial x)(11x^2y+8xy^3)

\frac{\partial}{\partial x} (11 x^{2} y + 8 x y^{3})

22 y x + 8 y^{3}

Solution steps

\frac{\partial}{\partial x} (11 x^{2} y + 8 x y^{3})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (11 x^{2} y) + \frac{\partial}{\partial x} (8 x y^{3})

\frac{\partial}{\partial x} (11 x^{2} y) = 22 y x

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

= 22 y x + 8 y^{3}

What is (\partial)/(\partial x)(11x^2y+8xy^3) ?
The answer to (\partial)/(\partial x)(11x^2y+8xy^3) is 22yx+8y^3