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 , ∞)