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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derivative of

(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}}

y = 4 cos^{4} (x^{2})

n + 1

x + lo g_{10} (x) - 2

\frac{x}{( x ^{2} + 1 )}

\frac{d}{d s} (2 s)

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))