en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of ln^2(x-ln(ln(x)))

Solution

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

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

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

Graph

Popular Examples

implicit (dy)/(dx),e^{x/y}=4x-y implicit derivative

\frac{d y}{d x}, e^{\frac{x}{y}} = 4 x - y

integral from 0 to 4 of (2-sqrt(x))^2

\int_{0}^{4} (2 - x)^{2} d x

sum from n=0 to infinity of 1/(n+14)

n = 0 \sum \infty \frac{1}{n + 14}

integral of t+2+3/(t^2+1)

\int t + 2 + \frac{3}{t ^{2} + 1} d t

derivative of (-8x^7+7x^3-2/(-4x^3))

\frac{d}{d x} (\frac{- 8 x ^{7} + 7 x ^{3} - 2}{- 4 x ^{3}})

Frequently Asked Questions (FAQ)

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