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Differntiation Problem

  1. Nov 1, 2009 #1
    1. The problem statement, all variables and given/known data

    Compute [tex]\frac{d}{dx}\left(\frac{x^{n}\left(x-1\right)^{n}}{n!} \times e^{x}\right)[/tex]

    2. Relevant equations

    [tex]\left(\frac{x^{n}\left(x-1\right)^{n}}{n!} \times e^{x}\right)[/tex]

    3. The attempt at a solution

    I got a solution of sorts applying the product rule and then applying the product rule again but it seemed awfully messy and i was wondering what the correct solution is and if there are steps taken to tidy all this up and give a nicer answer

  2. jcsd
  3. Nov 1, 2009 #2
    Would you mind posting your answer? It may be ok, [tex] \frac {x^{n-1}(x-1)^{n}e^{x}}{(n-1)!} + \frac {x^{n}(x-1)^{n-1}e^{x}}{(n-1)!} + \frac {x^{n}(x-1)^{n}e^{x}}{(n)!} [/tex]
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