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

The derivative of f(x)=arcsin(x^2) is (2x)/(sqrt(1-x^4))

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

The first derivative of f(x)=arcsin(x^2) is (2x)/(sqrt(1-x^4))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = arcsin (x^{2})

\frac{2 x}{1 - x ^{4}}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

= \frac{2 x}{1 - x ^{4}}

\frac{d}{d x} (\frac{5 x - 3}{4 x - \frac{3}{x}})

\int (2 x + 3) d x

\frac{\partial}{\partial x} (x y^{2} + 2 x^{2} z)

\int cos (x) + sin (x) d x

\int \frac{x ^{4} - 5 x ^{3} + 7 x}{x} d x

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