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Math Help - total differentiation

  1. #1
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    total differentiation

    i can't see at all how come

    (d/dx)(y'/sin^2y)=cosy/siny

    i would think that

    = [-2(y'^2)cosy/siny]+[y''/sin^2y]

    it's frustrating me please give me some help
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  2. #2
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    Quote Originally Posted by pepsi View Post
    i can't see at all how come

    (d/dx)(y'/sin^2y)=cosy/siny

    i would think that

    = [-2(y'^2)cosy/siny]+[y''/sin^2y]

    it's frustrating me please give me some help
    is there more to this problem than what you have posted?

    ... where/how did that first equation come about?
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  3. #3
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    Quote Originally Posted by pepsi View Post
    i can't see at all how come

    (d/dx)(y'/sin^2y)=cosy/siny


    i would think that

    = [-2(y'^2)cosy/siny]+[y''/sin^2y]

    it's frustrating me please give me some help
    The second formula is right and the first formula is wrong. It's that simple. Unless, as skeeter has suggested, there is more to the problem.
    Last edited by HallsofIvy; March 29th 2010 at 12:05 PM.
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  4. #4
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    Quote Originally Posted by skeeter View Post
    is there more to this problem than what you have posted?

    ... where/how did that first equation come about?
    i tried uploading the full question (and answer) the bit i have trouble with is b)

    also before this, when finding the Euler equation with theta as the dependent variable i don't see why not just use the first integral,

    anyway, thanks
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