Find the intervals on which each of the following functions is (a) increasing (b) decreasing.

Consider ![]()
f’(x)=4x3-x2
=x2(4x-1)
F’(x)=0 for x=0 and x=1/4

Function f(x) is decreasing for x ∈ (-∞,1/4] and increasing in x ∈ (1/4 , ∞)
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