What is the derivative of arcsin(3x^2) ?

The derivative of arcsin(3x^2) is (6x)/(sqrt(1-9x^4))

What is the first derivative of arcsin(3x^2) ?

The first derivative of arcsin(3x^2) is (6x)/(sqrt(1-9x^4))

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^{2}))

\frac{6 x}{1 - 9 x ^{4}}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (3 x^{2}) = 6 x

= \frac{1}{1 - ( 3 x ^{2} ) ^{2}} \cdot 6 x

Simplify

\frac{1}{1 - ( 3 x ^{2} ) ^{2}} \cdot 6 x : \frac{6 x}{1 - 9 x ^{4}}

= \frac{6 x}{1 - 9 x ^{4}}

- 2 y

\int_{0}^{3} x e^{- 2 x} d x

\int \frac{x ^{2}}{9} d x

f (x) = 5 e^{x} + x, (0, 5)

x \to b lim (\frac{x - b}{x - b})

What is the derivative of arcsin(3x^2) ?
The derivative of arcsin(3x^2) is (6x)/(sqrt(1-9x^4))
What is the first derivative of arcsin(3x^2) ?
The first derivative of arcsin(3x^2) is (6x)/(sqrt(1-9x^4))