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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

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

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

Solution steps

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

Apply the chain rule:

\frac{1}{ln ( x ^{3} )} \frac{d}{d x} (ln (x^{3}))

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

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

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

Simplify

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

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

y = \frac{sin ( x )}{1 + sin ( x )}

\int \frac{x}{x ^{2} + 3} d x

\int \frac{x ^{3}}{x ^{2} - 49} d x

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

x \to 2 lim (x^{4} + 5^{x} - 2)

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