What is the derivative of y=(ln(x))^3 ?

The derivative of y=(ln(x))^3 is (3ln^2(x))/x

What is the first derivative of y=(ln(x))^3 ?

The first derivative of y=(ln(x))^3 is (3ln^2(x))/x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

y = (ln (x))^{3}

\frac{3 ln ^{2} ( x )}{x}

Solution steps

\frac{d}{d x} ((ln (x))^{3})

Apply the chain rule:

3 (ln (x))^{2} \frac{d}{d x} (ln (x))

= 3 (ln (x))^{2} \frac{d}{d x} (ln (x))

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

= 3 (ln (x))^{2} \frac{1}{x}

Simplify

3 ln^{2} (x) \frac{1}{x} : \frac{3 ln ^{2} ( x )}{x}

= \frac{3 ln ^{2} ( x )}{x}

\int \frac{x + 3}{x - 1} d x

f (x) = e^{2 - x}

\frac{\partial}{\partial x} (e^{- x} tan (y))

\int + \frac{54}{1 - cos ( 9 x )} d x

x^{2} + 3, at (x = 1)

What is the derivative of y=(ln(x))^3 ?
The derivative of y=(ln(x))^3 is (3ln^2(x))/x
What is the first derivative of y=(ln(x))^3 ?
The first derivative of y=(ln(x))^3 is (3ln^2(x))/x