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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

\int \frac{t ^{2}}{2 1 - t ^{2}} d t

t^{2} y^{^{'}} + 4 t y - y^{3} = 0, y (1) = \frac{3}{2}

f (x) = x 2^{x}

\frac{d}{d y} (y^{- 3})

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

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