Hi there I had an online calc and differential equations prac quiz.

Exercise 4Letg(x, y) = -(x3 - 1)2 - (x2y - x -1)2By hand, compute the partial derivativesSubmissions are now closed.This time it's a little trickier to find the critical points, so in the interests ofcompleting your practical on time, we will step you through it.First, set -. = 0:-2(x-y - x - 1)x= =0= (xy - x - 1)x2 =0So = = 0 if x2 = 0 or if (x y - x - 1) = 0.Case 1: x* = 0, so this is only true if x = 0.When x = 0,dx- = -2