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

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

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

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

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

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

Solution steps

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

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}}

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