Let f(x) = f(x, y, z) = x + y + z + nxy + 4xz be given with n E Z. Given that the Newton's line search method is applicable to the function f(x) with an initial step x = (0, 1, 1), find the least possible value for n. OO 100 for -4 -3 -2 -1 0 1 2 3 4

Let f(x)=f(x,y,z)=x4+y4+z4+nx2y2+4x2z2 be given with nZ. Given that the Newton's line search method is applicable to the function f(x) with an initial step x=(0,1,1), find the least possible value for n. 4 3 2 1 0 1 2 3 4