What is (\partial)/(\partial y)(e^{xyz}) ?

The answer to (\partial)/(\partial y)(e^{xyz}) is e^{xyz}xz

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial y)(e^{xyz})

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

e^{x yz} x z

Solution steps

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

Treat

x, z

as constants

Apply the chain rule:

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

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

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

= e^{x yz} x z

sin (4 x^{2})

d r = e (r sin (θ) d θ - cos (θ) d r)

\int y - \frac{x}{y ^{2}} sin (\frac{x}{y}) d y

\frac{\partial}{\partial y} (1 + x^{4} + y^{3})

\int (3 x + 2)^{\frac{3}{2}} d x

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