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

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

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

e^{x y} y

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

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

= e^{x y} y

\int sin (t) e^{t} d t

\frac{12}{3 s - 5}

\frac{d ^{2}}{d x ^{2}} (\frac{6 π ^{2}}{6 - x})

n = 5 \sum \infty \frac{8 ^{n}}{9 ^{n}}

\int \frac{3}{5} - \frac{4}{x} d x

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