What is (\partial)/(\partial x)(ln(xyz)) ?

The answer to (\partial)/(\partial x)(ln(xyz)) is 1/x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(ln(xyz))

\frac{\partial}{\partial x} (ln (x yz))

\frac{1}{x}

Solution steps

\frac{\partial}{\partial x} (ln (x yz))

Treat

y, z

as constants

Apply the chain rule:

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

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

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

= \frac{1}{x yz} yz

Simplify

\frac{1}{x yz} yz : \frac{1}{x}

= \frac{1}{x}

f (x) = \frac{3}{4 x + 7}

\frac{d}{d x} (\frac{2 x - 5}{x + 1})

x \to 0 lim (2 x cot (4 x))

y = \frac{6 x}{x + 2}

e^{- t}

What is (\partial)/(\partial x)(ln(xyz)) ?
The answer to (\partial)/(\partial x)(ln(xyz)) is 1/x