Monotonicity (AOD)
is there any other way of doing this problem other than manually keeping values in f'(x) as x=0,1 to check if it's increasing or decreasing in that interval
I understand they're checking f'(x)=0 at some point alpha to know that there exists a local minima at that point, but how would I know if that is the only point of local minima? how can I be sure that the curve will not meet again at x-axis after intersecting x-axis?
I understand they're checking f'(x)=0 at some point alpha to know that there exists a local minima at that point, but how would I know if that is the only point of local minima? how can I be sure that the curve will not meet again at x-axis after intersecting x-axis?

