What is (\partial)/(\partial x)(y^2-e^{xy}) ?

The answer to (\partial)/(\partial x)(y^2-e^{xy}) is -e^{yx}y

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial x)(y^2-e^{xy})

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

- e^{y x} y

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 0 - e^{x y} y

Simplify

= - e^{y x} y

What is (\partial)/(\partial x)(y^2-e^{xy}) ?
The answer to (\partial)/(\partial x)(y^2-e^{xy}) is -e^{yx}y