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Math Help - Strange problem with chain rule

  1. #1
    Senior Member Paze's Avatar
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    Strange problem with chain rule

    derive x/(1-x^2) - Wolfram|Alpha

    How on earth does 1-x^2 become x^2-1?!

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  2. #2
    Senior Member jakncoke's Avatar
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    Re: Strange problem with chain rule

    (1-x^2)^2 = x^4 - 2x^2 + 1
     (x^2-1)^2 = x^4 - 2x^2 + 1

    This is because, for square functions f(-x) = f(x)
    Last edited by jakncoke; February 24th 2013 at 04:45 PM.
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    Senior Member Paze's Avatar
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    Re: Strange problem with chain rule

    Quote Originally Posted by jakncoke View Post
    (1-x^2)^2 = x^4 - 2x^2 + 1
     (x^2-1)^2 = x^4 - 2x^2 + 1
    Doh..I did suspect that, but I dismissed it as being too far out. Why go through the step of re-arranging it. Weird calculator.
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