en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of ln(arcsin(2x))

Solution

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

Solution

\frac{2}{arcsin ( 2 x ) 1 - 4 x ^{2}}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (arcsin (2 x)) = \frac{2}{1 - 4 x ^{2}}

= \frac{1}{arcsin ( 2 x )} \cdot \frac{2}{1 - 4 x ^{2}}

Simplify

\frac{1}{arcsin ( 2 x )} \cdot \frac{2}{1 - 4 x ^{2}} : \frac{2}{arcsin ( 2 x ) 1 - 4 x ^{2}}

= \frac{2}{arcsin ( 2 x ) 1 - 4 x ^{2}}

Graph

Popular Examples

derivative of (tan(x)/(cos(x)))

\frac{d}{d x} (\frac{tan ( x )}{cos ( x )})

integral of x^2cos((x^3)/5)

\int x^{2} cos (\frac{x ^{3}}{5}) d x

derivative of 3sec^2(3x)

\frac{d}{d x} (3 sec^{2} (3 x))

derivative of x/(x^2+1)derivative of

\frac{x}{x ^{2} + 1}

integral of (5+cot^2(x))

\int (5 + cot^{2} (x)) d x

Frequently Asked Questions (FAQ)

What is the derivative of ln(arcsin(2x)) ?
The derivative of ln(arcsin(2x)) is 2/(arcsin(2x)sqrt(1-4x^2))
What is the first derivative of ln(arcsin(2x)) ?
The first derivative of ln(arcsin(2x)) is 2/(arcsin(2x)sqrt(1-4x^2))