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Find the intervals in which the following functions are strictly increasing or decreasing:
(a) – 2x3 – 9x2 – 12x + 1
(b) (x + 1)3 (x – 3)3
(a) f (x) = −2x3 − 9x2 − 12x + 1
(b) f(x) = (x + 1)3 (x − 3)3