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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

2 y^{3} x + 8 y x^{3}

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 2 y^{3} x + 8 y x^{3}

x \to \infty lim (\frac{2}{x} - 6)

\frac{d}{d x} (3 x^{4} - 5 x^{2} + 1)

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

\frac{d}{d x} ((4 - x^{2})^{3})

\int \frac{sin ( \frac{2}{x} )}{x ^{2}} d x

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