What is (\partial)/(\partial x)(ye^{xz}) ?

The answer to (\partial)/(\partial x)(ye^{xz}) is ye^{xz}z

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial x)(ye^{xz})

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

y e^{x z} z

Solution steps

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

Treat

y, z

as constants

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= y e^{x z} z

What is (\partial)/(\partial x)(ye^{xz}) ?
The answer to (\partial)/(\partial x)(ye^{xz}) is ye^{xz}z