Find the derivative of the function y=((1)/(w^(9)-1))^(6) using the Generalized Power Rule. Which of the following options correctly represents the derivative?
a) (6(w^8))/(w^9-1)^5
b) (6(w^8))/(w^9-1)^6
c) (6(w^8))/(w^9-1)^7
d) (6(w^8))/(w^9-1)^8