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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial y)(x^2+2xy)

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

2 x

Solution steps

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

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial y} (x^{2}) = 0

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

= 0 + 2 x

Simplify

= 2 x

x \to 0 lim (\frac{\frac{4}{x + 1} - 4}{x})

y^{^{'}} = \frac{x}{y}, y (1) = 2

\int y^{4} d y

(- 5.1) (7.8)

\frac{d y}{d x} = \frac{x ^{2}}{y + x ^{3} y}

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