What is the derivative of ln(x+sqrt(x^2-11)) ?

The derivative of ln(x+sqrt(x^2-11)) is 1/(sqrt(x^2-11))

What is the first derivative of ln(x+sqrt(x^2-11)) ?

The first derivative of ln(x+sqrt(x^2-11)) is 1/(sqrt(x^2-11))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (ln (x + x^{2} - 11))

\frac{1}{x ^{2} - 11}

Solution steps

\frac{d}{d x} (ln (x + x^{2} - 11))

Apply the chain rule:

\frac{1}{x + x ^{2} - 11} \frac{d}{d x} (x + x^{2} - 11)

= \frac{1}{x + x ^{2} - 11} \frac{d}{d x} (x + x^{2} - 11)

\frac{d}{d x} (x + x^{2} - 11) = 1 + \frac{x}{x ^{2} - 11}

= \frac{1}{x + x ^{2} - 11} (1 + \frac{x}{x ^{2} - 11})

Simplify

\frac{1}{x + x ^{2} - 11} (1 + \frac{x}{x ^{2} - 11}) : \frac{1}{x ^{2} - 11}

= \frac{1}{x ^{2} - 11}

f (x) = x + 3

\frac{d y}{d x} = y (x y^{6} + 4)

n = 1 \sum \infty \frac{1}{( 3 n - 1 ) ^{4}}

y^{^{'}} + 5 x y = 0

x \to - 1 lim (\frac{2}{x ^{2} - 1})

What is the derivative of ln(x+sqrt(x^2-11)) ?
The derivative of ln(x+sqrt(x^2-11)) is 1/(sqrt(x^2-11))
What is the first derivative of ln(x+sqrt(x^2-11)) ?
The first derivative of ln(x+sqrt(x^2-11)) is 1/(sqrt(x^2-11))