Find the derivate of the following algebraic function:

$\displaystyle f(x) = (x^3 + 3x + 2) / (x^2 - 1)$

I think I am supposed to use the quotient rule, but I can't seem to get the algebra to work. My calculator says the derivative at, say, 1 is 300,000, and I get far less than that. I'm wondering if I am entering it incorrectly in my calculator or just not solving it right as it doesn't seem very simplified when I get through with it.