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

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