What is the derivative of y=ln(ln(x^{32})) ?

The derivative of y=ln(ln(x^{32})) is (32)/(xln(x^{32))}

What is the first derivative of y=ln(ln(x^{32})) ?

The first derivative of y=ln(ln(x^{32})) is (32)/(xln(x^{32))}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative

\frac{32}{x ln ( x ^{32} )}

Solution steps

\frac{d}{d x} (ln (ln (x^{32})))

Apply the chain rule:

\frac{1}{ln ( x ^{32} )} \frac{d}{d x} (ln (x^{32}))

= \frac{1}{ln ( x ^{32} )} \frac{d}{d x} (ln (x^{32}))

\frac{d}{d x} (ln (x^{32})) = \frac{32}{x}

= \frac{1}{ln ( x ^{32} )} \cdot \frac{32}{x}

Simplify

\frac{1}{ln ( x ^{32} )} \cdot \frac{32}{x} : \frac{32}{x ln ( x ^{32} )}

= \frac{32}{x ln ( x ^{32} )}

What is the derivative of y=ln(ln(x^{32})) ?
The derivative of y=ln(ln(x^{32})) is (32)/(xln(x^{32))}
What is the first derivative of y=ln(ln(x^{32})) ?
The first derivative of y=ln(ln(x^{32})) is (32)/(xln(x^{32))}