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Determine the intervals in which the function `f(x)=x^4-8x^3+22 x^2-24 x+21` is decreasing or increasing.

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Correct Answer - (a) `f(x)` is increasing on `[1, 2] uu [3, oo]`
(b) `f(x)` is decreasing on `[-oo, 1] uu [2, 3]`

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