# Math Help - Derivative help would be awesome!

1. ## Derivative help would be awesome!

How do I find the nth derivative of x^n / (1-x)
Thanks!

2. Originally Posted by rhb318
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: $\left(\frac{x^n}{1-x} \right)^{(n)}=\left(\frac{1}{1-x} \right)^{(n)}=\frac{n!}{(1-x)^{n+1}}. \ \Box$