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Math Help - Differential Calculus

  1. #1
    Newbie
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    May 2007
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    Smile Differential Calculus

    Could anyone please help me with this sum????

    let f(x) = x/x - 3 (x is not equal to 3)

    1.Show that the curve f(x) has no points of inflection.
    2.Find the equations of the asymtotes of the curve y = f(x)

    AND THE MOST IMPORTANT!!!

    3. If the tangents to the curve at (x1, y1) and (x2, y2) are parallel, show that x1 + x2 = 6 (x1 is not equal to x2)

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  2. #2
    Junior Member
    Joined
    Nov 2006
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    1. f(x) = x/x - 3 (x is not equal to 3)

    take the
    first derivative we get f '(x)= -3/(x-3)^2
    the second derivative f'' (x) = 6/(x-3)^3
    since the f''(x) no root, so f(x) no inflection point.
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