here is the method they utilized w/o all the mumbo-jumbo ... hopefully you can follow what is going on.Find the points on the curve y = x^2 nearest to the point (0, 1).
distance between the two points and is
if one minimizes , then it also minimizes the square root of that value.
three critical values ... ,
use the 2nd derivative test ...
is the location of a relative max
both of these x-values minimize z
so, two points are the closest to (because of the symmetry of )