For the function f(x) = 4(3cos(1π((-3x + 3)/(-3x + 4)) + 3))^2 - 1(3cos(1π((-3x + 3)/(-3x + 4)) + 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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