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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

y^{3} - 2 y x

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= y^{3} - 2 y x

\frac{d}{d x} (in x)

\frac{d}{d x} (\frac{x ( x + 2 y )}{1000000})

y = \frac{t}{( t - 9 ) ^{2}}

\int (\frac{5 x}{5} + \frac{5}{5 x}) d x

y^{^{''}} + y^{^{'}} - 12 y = 3 e^{2 x}

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