What is (\partial)/(\partial x)(10x^2y+5xy^3) ?

The answer to (\partial)/(\partial x)(10x^2y+5xy^3) is 20yx+5y^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(10x^2y+5xy^3)

\frac{\partial}{\partial x} (10 x^{2} y + 5 x y^{3})

20 y x + 5 y^{3}

Solution steps

\frac{\partial}{\partial x} (10 x^{2} y + 5 x y^{3})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (10 x^{2} y) + \frac{\partial}{\partial x} (5 x y^{3})

\frac{\partial}{\partial x} (10 x^{2} y) = 20 y x

\frac{\partial}{\partial x} (5 x y^{3}) = 5 y^{3}

= 20 y x + 5 y^{3}

\frac{d}{d x} ((ln (x))^{8})

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

\frac{A}{y ^{8}} + B e^{y}

\int \frac{x - 5}{x} d x

\int_{1}^{3} 2 x + 1 d x

What is (\partial)/(\partial x)(10x^2y+5xy^3) ?
The answer to (\partial)/(\partial x)(10x^2y+5xy^3) is 20yx+5y^3