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Math Help - Differentiation

  1. #1
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    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??
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  2. #2
    No one in Particular VonNemo19's Avatar
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    Quote Originally Posted by Morgan82 View Post
    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}
    Last edited by VonNemo19; October 1st 2009 at 04:43 PM.
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  3. #3
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    Quote Originally Posted by Morgan82 View Post
    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.
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