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

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

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

sin (z) e^{x y} y

Solution steps

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

Treat

y, z

as constants

Take the constant out:

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

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

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

= sin (z) e^{x y} y

\frac{d}{d x} (4 x^{2 x})

\int_{1}^{2} (x^{2} + 1) d x

\int \frac{2 x}{( 1 + x ) ^{2}} d x

\int \frac{3}{t ^{2}} d t

\frac{\partial}{\partial x} (sec^{5} (x^{3} y^{3}))

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