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

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

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+y^3)

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

2 x y

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 2 y x + 0

Simplify

= 2 x y

- x^{2} + 1.907, 0, 0.266

ln (\frac{x + 1}{x - 1})

\int cos^{4} (7 x + 6) d x

\int \frac{1}{( 4 x - x ^{2} )} d x

\int_{0}^{1} (5 e^{x} - 5 x e^{x^{2}}) d x

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