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What is a simple proof of this differentiation property?

  1. Sep 29, 2015 #1


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    Gold Member

    \frac{d^{2n}}{dx^{2n}}\left(x^2-1\right)^n = (2n)!
  2. jcsd
  3. Sep 30, 2015 #2


    Staff: Mentor

    Try using an induction proof:

    Step 1 prove for n=1

    Step 2 Assume its true for k and the prove its true for k+1
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