For the function f(x) = (2(1(1cos(1πx - 3) - 3)^2 - 4(1cos(1πx - 3) - 3) - 3))/(-2(1(1cos(1πx - 3) - 3)^2 - 4(1cos(1πx - 3) - 3) - 3) + 3), find the number of maximal connected intervals in [-10, 10] where f'(x) < 0.

Present the answer in LaTex format: \boxed{Your answer}
user