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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

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

y

Solution steps

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

Treat

y, z

as constants

Apply the Sum/Difference Rule:

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

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

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

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

= y + 0

Simplify

= y

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