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Math Help - Finding Vertical Tangent lines

  1. #1
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    Finding Vertical Tangent lines

    I need to find the vertical tangents for this function
    2y^3+y^3-y^5=x^4-2x^3+x^2
    I got this for the derivative
    dy/dx=(4X^3-6x^2+2x)/(6y^2+2y-5y^4)
    I know to set the denominator equal to zero and from there I'm stuck

    Thanks in advance!
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  2. #2
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    Quote Originally Posted by redsox25 View Post
    I need to find the vertical tangents for this function

    2y^3+y^3-y^5=x^4-2x^3+x^2 check the exponents on the left side, please
    ...
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  3. #3
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    oops sorry about that
    2y^3+y^2-y^5=x^4-2x^3+x^2
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  4. #4
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    other than y = 0 , the other three zeros look to be irrational when graphed w/ a calculator. unless there's some clever trick, solving by hand may be rather messy.

    http://www.math.vanderbilt.edu/~schectex/courses/cubic/
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