Let f(x,y,z) be a differentiable function such that ∇f(x,y,z)=⟨−x,z−y,y−z 2
⟩ Which of the following is a true statement about the point P=(1,0,0) ? P is not a critical point of f. f has a local minimum at P. f has a local maximum at P. P is a saddle point of f.