On how many maximal connected intervals within [-10, 10] is the derivative of f(x) = -4((-3(1cos(1πx + 3) + 1) + 3)/(-1(1cos(1πx + 3) + 1) - 2))^2 + 1((-3(1cos(1πx + 3) + 1) + 3)/(-1(1cos(1πx + 3) + 1) - 2)) - 5 positive?

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