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Math Help - Is it possible to find asymptotes with dy/dx?

  1. #1
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    Is it possible to find asymptotes with dy/dx?

    I'm given the 2y^3 - y^2 / 2 - y^5 = x^4 - 2x^3 + x^2

    I derived the function and got:

    dy/dx = (4x^3 - 6x^2 + 2x) / (6y^2 - y - 5y^4)

    I am asked to find the horizontal and vertical asymptotes. I don't know what to do from here, how do you find asymptotes with an implicit derivative?
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  2. #2
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    Re: Is it possible to find asymptotes with dy/dx?

    Quote Originally Posted by rapmonkey52 View Post
    I'm given the 2y^3 - y^2 / 2 - y^5 = x^4 - 2x^3 + x^2

    I derived the function and got:

    dy/dx = (4x^3 - 6x^2 + 2x) / (6y^2 - y - 5y^4)

    I am asked to find the horizontal and vertical asymptotes. I don't know what to do from here, how do you find asymptotes with an implicit derivative?
    I believe you may be looking for tangent lines that are vertical to the curve rather than vertical asymptotes.
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