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

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