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

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