given f(x)=x^2/(1-x^2) find the value of f^(2012)(0)

where f^(2012)(0) is the 2012'th derivative of f(x) evaluated at a=0

answer is 2012! , have no idea how they did this...

also, another quesiton --

what is the coefficient of x^2012 in the maclaurin series of the function f(x) = sin(-x) ?