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

The answer to (\partial)/(\partial z)(e^{xy}+x^2z) is x^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial z)(e^{xy}+x^2z)

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

x^{2}

Solution steps

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

Treat

x, y

as constants

Apply the Sum/Difference Rule:

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

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

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

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

= 0 + x^{2}

Simplify

= x^{2}

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