What is the derivative of arcsin(-3x) ?

The derivative of arcsin(-3x) is -3/(sqrt(1-9x^2))

What is the first derivative of arcsin(-3x) ?

The first derivative of arcsin(-3x) is -3/(sqrt(1-9x^2))

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 (- 3 x))

- \frac{3}{1 - 9 x ^{2}}

Solution steps

\frac{d}{d x} (arcsin (- 3 x))

Apply the chain rule:

\frac{1}{1 - ( - 3 x ) ^{2}} \frac{d}{d x} (- 3 x)

= \frac{1}{1 - ( - 3 x ) ^{2}} \frac{d}{d x} (- 3 x)

\frac{d}{d x} (- 3 x) = - 3

= \frac{1}{1 - ( - 3 x ) ^{2}} (- 3)

Simplify

\frac{1}{1 - ( - 3 x ) ^{2}} (- 3) : - \frac{3}{1 - 9 x ^{2}}

= - \frac{3}{1 - 9 x ^{2}}

y^{^{''}} = - 4 y - 4 y^{^{'}}

\frac{\partial}{\partial y} (tan (y))

lo g_{2} (x + x^{- 2})

t \to \infty lim (t^{2})

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

What is the derivative of arcsin(-3x) ?
The derivative of arcsin(-3x) is -3/(sqrt(1-9x^2))
What is the first derivative of arcsin(-3x) ?
The first derivative of arcsin(-3x) is -3/(sqrt(1-9x^2))