What is a simple proof of this differentiation property?

  • Thread starter td21
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  • #1
td21
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$$
\frac{d^{2n}}{dx^{2n}}\left(x^2-1\right)^n = (2n)!
$$
 

Answers and Replies

  • #2
12,808
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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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