Find the Laplacian ∇2f\nabla^2 f∇2f of f(x,y,z)=ex+y+zf(x, y, z) = e^{x+y+z}f(x,y,z)=ex+y+z.
3ex+y+z3e^{x+y+z}3ex+y+z
ex+y+ze^{x+y+z}ex+y+z
000
9ex+y+z9e^{x+y+z}9ex+y+z