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Math Help - derivative of 1/y

  1. #1
    Member mybrohshi5's Avatar
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    derivative of 1/y

    ok so i have the problem:

    If and , find by implicit differentiation.

    so i differentiate both sides and get -1/x^2 + -y'/y^2 = 0

    then i solve for y' and get y'=-y^2/x^2

    this is wrong but i do not know where i went wrong..... im thinking it has to do with the derivative of the 1/y.

    could i get some advice please =)

    thank you
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  2. #2
    MHF Contributor
    skeeter's Avatar
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    Quote Originally Posted by mybrohshi5 View Post
    ok so i have the problem:

    If and , find by implicit differentiation.

    so i differentiate both sides and get -1/x^2 + -y'/y^2 = 0

    then i solve for y' and get y'=-y^2/x^2

    this is wrong but i do not know where i went wrong..... im thinking it has to do with the derivative of the 1/y.

    could i get some advice please =)

    thank you
    why do you say that y' = -\frac{y^2}{x^2} is wrong?

    it's not.
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  3. #3
    Member mybrohshi5's Avatar
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    you are right, it is right lol. i just must have not used enough decimal places in my answer because my web homework was saying it was incorrect but i just put it in again with a few more decimal places and it is right now =)

    thanks for clarifying this for me
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