Let the function z = f (x, y) be determined by the equation XY + YZ + XZ = 1, and find ᦉ 8706; 2Z / ᦉ 8706; (x ^ 2)

Let the function z = f (x, y) be determined by the equation XY + YZ + XZ = 1, and find ᦉ 8706; 2Z / ᦉ 8706; (x ^ 2)

y+y∂z/∂x+z+x∂z/∂x=0
∂z/∂x=-(y+z)/(x+y)
∂2z/∂x2=【∂(∂z/∂x)】/∂x=【∂( -(y+z)/(x+y))】/∂x=[-∂z/∂x(x+y)+(y+z)]/(x+y)^2 =2(y+z)/(x+y)^2