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

The derivative of e^{ln(ln(2x)}) is 1/x

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

The first derivative of e^{ln(ln(2x)}) is 1/x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (e^{l n (l n (2 x))})

\frac{1}{x}

Solution steps

\frac{d}{d x} (e^{l n (l n (2 x))})

Simplify

e^{l n (l n (2 x))} : ln (2 x)

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

Apply the chain rule:

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

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

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

= \frac{1}{2 x} \cdot 2

Simplify

\frac{1}{2 x} \cdot 2 : \frac{1}{x}

= \frac{1}{x}

\frac{3 x}{2 e ^{x} - e ^{- x}}

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

f (x) = 322560 (2 x + 5)

\frac{d y}{d x} = sin (5 x), y (0) = 2

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

What is the derivative of e^{ln(ln(2x)}) ?
The derivative of e^{ln(ln(2x)}) is 1/x
What is the first derivative of e^{ln(ln(2x)}) ?
The first derivative of e^{ln(ln(2x)}) is 1/x