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

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