What is the derivative of (ln(6x))^{11} ?

The derivative of (ln(6x))^{11} is (11ln^{10}(6x))/x

What is the first derivative of (ln(6x))^{11} ?

The first derivative of (ln(6x))^{11} is (11ln^{10}(6x))/x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

(ln (6 x))^{11}

\frac{11 ln ^{10} ( 6 x )}{x}

Solution steps

\frac{d}{d x} ((ln (6 x))^{11})

Apply the chain rule:

11 (ln (6 x))^{10} \frac{d}{d x} (ln (6 x))

= 11 (ln (6 x))^{10} \frac{d}{d x} (ln (6 x))

\frac{d}{d x} (ln (6 x)) = \frac{1}{x}

= 11 (ln (6 x))^{10} \frac{1}{x}

Simplify

11 ln^{10} (6 x) \frac{1}{x} : \frac{11 ln ^{10} ( 6 x )}{x}

= \frac{11 ln ^{10} ( 6 x )}{x}

x \to 5 - lim (\frac{x}{x + 1})

x \to 0 lim (- x)

\int 6 x^{\frac{1}{2}} d x

(x + 2)^{8}

2 + 7 x

What is the derivative of (ln(6x))^{11} ?
The derivative of (ln(6x))^{11} is (11ln^{10}(6x))/x
What is the first derivative of (ln(6x))^{11} ?
The first derivative of (ln(6x))^{11} is (11ln^{10}(6x))/x