What is (\partial)/(\partial z)(e^xsin(yz)) ?

The answer to (\partial)/(\partial z)(e^xsin(yz)) is e^xcos(yz)y

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial z)(e^xsin(yz))

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

e^{x} cos (yz) y

Solution steps

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

Treat

x, y

as constants

Take the constant out:

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

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

Apply the chain rule:

cos (yz) \frac{\partial}{\partial z} (yz)

= cos (yz) \frac{\partial}{\partial z} (yz)

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

= e^{x} cos (yz) y

What is (\partial)/(\partial z)(e^xsin(yz)) ?
The answer to (\partial)/(\partial z)(e^xsin(yz)) is e^xcos(yz)y