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

The answer to (\partial)/(\partial x)(4+x+x^2y) is 2xy+1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

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

2 x y + 1

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial x} (4) = 0

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

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

= 0 + 1 + 2 y x

Simplify

= 2 x y + 1

What is (\partial)/(\partial x)(4+x+x^2y) ?
The answer to (\partial)/(\partial x)(4+x+x^2y) is 2xy+1