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Math Help - Derivative help would be awesome!

  1. #1
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    Derivative help would be awesome!

    How do I find the nth derivative of x^n / (1-x)
    Thanks!
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  2. #2
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    Quote Originally Posted by rhb318 View Post
    How do I find the nth derivative of x^n / (1-x)
    Thanks!
    \frac{x^n}{1-x}=-1-x-\cdots - x^{n-1} + \frac{1}{1-x}. so: \left(\frac{x^n}{1-x} \right)^{(n)}=\left(\frac{1}{1-x} \right)^{(n)}=\frac{n!}{(1-x)^{n+1}}. \ \Box
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