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Math Help - Trouble with optimization

  1. #1
    Junior Member
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    Trouble with optimization

    A circular ring of wire of radius r_0 lies in a plane perpendicular to the x-axis and is centered at the origin. The ring has a positive electric charge spread uniformly over it. The electric field in the x-direction, E, at the point x on the axis is given by the following formula where k > 0.

    E=(kx)/(x^2+(r_0)^2)^(3/2)

    At what point on the x-axis is the field greatest?
    At what point on the x-axis is the field least?

    This problem is just getting very messy and I am sure that is not right, any help is appreciated.
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  2. #2
    MHF Contributor
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    Is the whole thing to the (3/2) or just the denominator? You have to differentiate that in terms of x. What did you get?
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