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Math Help - finding horizontal asymptotes

  1. #1
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    finding horizontal asymptotes

    Could someone please help!!

    Find the horizontal asymptote of arccot(x^2-x^4)

    thanks so much!!
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by henry5 View Post
    Could someone please help!!

    Find the horizontal asymptote of arccot(x^2-x^4)

    thanks so much!!
    Horizontal Asymptotes occur when f'(x)=0\text{ or }f'(0) is undefined.

    f'(x)=-\frac{2x-4x^3}{1+(x^2-x^4)^2}

    f'(x)=0 when -2x+4x^3=0. I leave it for you to find the values of x that cause this to be true.

    I gave enough info to help get you through the problem. Try to finish this off.

    --Chris
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  3. #3
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    thanks for the reply

    the x values that i get are +/- square root of 0.5 and 0.

    the question though asks for the y values (like horizontal asymptote at y=2)

    how would i find this?
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