# Math Help - Differentiation

1. ## Differentiation

I need to find the derivative of this..

y = inverse sin of (sqrt(1-x^2))

I got an answer, and in the denominator, I got sqrt(-x^2).

This is undefined. Whats going on??

2. Originally Posted by Morgan82
I need to find the derivative of this..

y = inverse sin of (sqrt(1-x^2))

I got an answer, and in the denominator, I got sqrt(-x^2).

This is undefined. Whats going on??
Remember

$\frac{d}{dx}\left[\arcsin(u)\right]=\frac{u'}{\sqrt{1-u^2}}du$

In your case... $u=\sqrt{1-x^2}$

3. Originally Posted by Morgan82
I need to find the derivative of this..

y = inverse sin of (sqrt(1-x^2))

I got an answer, and in the denominator, I got sqrt(-x^2).

This is undefined. Whats going on??
What's going on is that you made a mistake. 1 - (1 - x^2) = x^2 NOT -x^2.