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

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