What is (\partial)/(\partial x)((ln(x))^2) ?

The answer to (\partial)/(\partial x)((ln(x))^2) is (2ln(x))/x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial x)((ln(x))^2)

\frac{\partial}{\partial x} ((ln (x))^{2})

\frac{2 ln ( x )}{x}

Solution steps

\frac{\partial}{\partial x} ((ln (x))^{2})

Apply the chain rule:

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

= 2 ln (x) \frac{\partial}{\partial x} (ln (x))

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

= 2 ln (x) \frac{1}{x}

Simplify

2 ln (x) \frac{1}{x} : \frac{2 ln ( x )}{x}

= \frac{2 ln ( x )}{x}

What is (\partial)/(\partial x)((ln(x))^2) ?
The answer to (\partial)/(\partial x)((ln(x))^2) is (2ln(x))/x