What is the derivative of arcsin(5x-1) ?

The derivative of arcsin(5x-1) is 5/(sqrt(-25x^2+10x))

What is the first derivative of arcsin(5x-1) ?

The first derivative of arcsin(5x-1) is 5/(sqrt(-25x^2+10x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (arcsin (5 x - 1))

\frac{5}{- 25 x ^{2} + 10 x}

Solution steps

\frac{d}{d x} (arcsin (5 x - 1))

Apply the chain rule:

\frac{1}{1 - ( 5 x - 1 ) ^{2}} \frac{d}{d x} (5 x - 1)

= \frac{1}{1 - ( 5 x - 1 ) ^{2}} \frac{d}{d x} (5 x - 1)

\frac{d}{d x} (5 x - 1) = 5

= \frac{1}{1 - ( 5 x - 1 ) ^{2}} \cdot 5

Simplify

\frac{1}{1 - ( 5 x - 1 ) ^{2}} \cdot 5 : \frac{5}{- 25 x ^{2} + 10 x}

= \frac{5}{- 25 x ^{2} + 10 x}

\int_{- 2}^{0} \frac{5}{x ^{2} + 4 x + 8} d x

x \to 4 lim (- x^{2} + 3 x - 7)

\frac{d}{d x} (\frac{π}{5})

\int x^{2} + 2 x - 15 d x

x^{2} - 43, - 2 x + 5, - 8, 6

What is the derivative of arcsin(5x-1) ?
The derivative of arcsin(5x-1) is 5/(sqrt(-25x^2+10x))
What is the first derivative of arcsin(5x-1) ?
The first derivative of arcsin(5x-1) is 5/(sqrt(-25x^2+10x))