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

The answer to (\partial)/(\partial x)(ln(ax)) 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(ax))

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

\frac{1}{x}

Solution steps

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

Apply the chain rule:

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

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

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

= \frac{1}{a x} a

Simplify

\frac{1}{a x} a : \frac{1}{x}

= \frac{1}{x}

t - 4 \frac{t ^{2}}{2}

\int (\frac{1}{x} - \frac{3}{4 x ^{2} + 1}) d x

\frac{d}{d x} (e^{\frac{y}{x}})

\frac{2}{x} - x^{2} + 1

\frac{x ^{2}}{x + 4}

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