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

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