What is the derivative of ln(ln(x^2)) ?

The derivative of ln(ln(x^2)) is 2/(xln(x^2))

What is the first derivative of ln(ln(x^2)) ?

The first derivative of ln(ln(x^2)) is 2/(xln(x^2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

ln (ln (x^{2}))

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

Solution steps

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

Apply the chain rule:

\frac{1}{ln ( x ^{2} )} \frac{d}{d x} (ln (x^{2}))

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

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

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

Simplify

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

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

y^{^{'}} - \frac{5}{x} y = \frac{y ^{5}}{x ^{11}}

n = 1 \sum \infty \frac{4}{1 0 ^{n}}

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

y = 4 - x^{2}, 2 x + y = 4

f (x) = x^{2} sin (x)

What is the derivative of ln(ln(x^2)) ?
The derivative of ln(ln(x^2)) is 2/(xln(x^2))
What is the first derivative of ln(ln(x^2)) ?
The first derivative of ln(ln(x^2)) is 2/(xln(x^2))