Please help me solve question 5

Cliffique for solving extreme- n restricted domains is called nonlinear programming. 5. Find and classify the three critical points for the Lagrange function Xn L( x, y, u, v, 2, M) = S + 2 (y - x2) + M(v-202 -1) corresponding to the problem extremize S = (x -u)2+ () -v)2 subject to y = x2 and v = 2u2 + 1. What is the minimum distance between the curves y = x and y = 2x2 + 1