Answer :

f(x)=x4-8x3+22x2-24x+21


f’(x)=4x3-24x2+44x-24


= 4(x3 -6x2+11x-6)


=4(x-3)(x-1)(x-2)



Function f(x) is decreasing for x (-∞,1] [2, 3] and increasing in x (1,2) (3, ∞)


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