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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

e^{x y - y} y

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

= e^{x y - y} y

\frac{d}{d x} (x + 1 - 1)

e^{3 x c o s (2 x)}

y = - \frac{3}{x} + \frac{2}{x ^{3}}

\int \frac{7 - x ^{2}}{3 x ^{3} + x} d x

\frac{\partial}{\partial y} (x^{5} y z^{2} + 4 yz)

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