Given f(x,y,z)=x+y2+z3f(x, y, z) = x + y^2 + z^3f(x,y,z)=x+y2+z3, find the gradient vector ∇f\nabla f∇f at (1,1,1)(1, 1, 1)(1,1,1).
⟨1,2,3⟩\langle 1, 2, 3 \rangle⟨1,2,3⟩
⟨1,1,1⟩\langle 1, 1, 1 \rangle⟨1,1,1⟩
⟨1,2,1⟩\langle 1, 2, 1 \rangle⟨1,2,1⟩
⟨0,2,3⟩\langle 0, 2, 3 \rangle⟨0,2,3⟩