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Quartic function Problem EMS

  1. May 10, 2007 #1
    Quartic function Problem!!! EMS!!!!

    I got stuck on a question that tells me to find the restriction on coefficient on equation y=Ax^4+Bx^3+Cx^2+Dx+E, so that the function can form a "w" shape, and I found that a>0 and e can be any thing, but others I cannot find. SO if anyone PLZ help me
  2. jcsd
  3. May 11, 2007 #2


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    In order to have a "w" shape, the function must have two distinct minima and a maximum- that is, the derivative can be written as a product of three linear terms: a(x- u)(x- v)(x- w) with u, v, w distinct numbers.
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