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

The answer to (\partial)/(\partial x)(xy+x+y) is y+1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

y + 1

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

\frac{\partial}{\partial x} (x) = 1

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

= y + 1 + 0

Simplify

= y + 1

(y^{- 1})^{^{'}}

x \to - 1 lim (\frac{x + 1}{x ^{3} + 1})

y^{^{'}} = - y + \frac{1}{y}

2 - x

\frac{d}{d x} (e^{l n (x^{2} + 1)})

What is (\partial)/(\partial x)(xy+x+y) ?
The answer to (\partial)/(\partial x)(xy+x+y) is y+1