Extrema = local max/min/absolute max or min

1.

To find local min or max is when the derviative is zero. so...

then you look at the interval less then zero, bewteen 0-1,1-2, and >2 to see if its max or min. You plug in numbers in each of these intervals to see if the function is neg. or pos. In this case, at x=0 it is a local min. and at x=2 it is a local max.