A scalar field is defined by f(x,y,z)=x2y+y2z+z2xf(x, y, z) = x^2y + y^2z + z^2xf(x,y,z)=x2y+y2z+z2x. What is the Laplacian ∇2f=∂2f∂x2+∂2f∂y2+∂2f∂z2\nabla^2 f = \frac{\partial^2 f}{\partial x^2} + \frac{\partial^2 f}{\partial y^2} + \frac{\partial^2 f}{\partial z^2}∇2f=∂x2∂2f+∂y2∂2f+∂z2∂2f?
2(x+y+z)2(x + y + z)2(x+y+z)
x+y+zx + y + zx+y+z
000
2xy+2yz+2zx2xy + 2yz + 2zx2xy+2yz+2zx