What is (\partial)/(\partial x)(xarctan(y/z)) ?

The answer to (\partial)/(\partial x)(xarctan(y/z)) is arctan(y/z)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial x)(xarctan(y/z))

\frac{\partial}{\partial x} (x arctan (\frac{y}{z}))

arctan (\frac{y}{z})

Solution steps

\frac{\partial}{\partial x} (x arctan (\frac{y}{z}))

Treat

y, z

as constants

Take the constant out:

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

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

Apply the common derivative:

\frac{\partial}{\partial x} (x) = 1

= arctan (\frac{y}{z}) \cdot 1

Simplify

= arctan (\frac{y}{z})

What is (\partial)/(\partial x)(xarctan(y/z)) ?
The answer to (\partial)/(\partial x)(xarctan(y/z)) is arctan(y/z)