What is (\partial)/(\partial x)(xe^y) ?

The answer to (\partial)/(\partial x)(xe^y) is e^y

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial x)(xe^y)

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

e^{y}

Solution steps

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

Treat

y

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the common derivative:

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

= e^{y} \cdot 1

Simplify

= e^{y}

What is (\partial)/(\partial x)(xe^y) ?
The answer to (\partial)/(\partial x)(xe^y) is e^y