A scalar field f(x,y,z)=x3+y3+z3−3xyzf(x, y, z) = x^3 + y^3 + z^3 - 3xyzf(x,y,z)=x3+y3+z3−3xyz. Calculate the gradient ∇f\nabla f∇f at (1,1,1)(1, 1, 1)(1,1,1).
⟨0,0,0⟩\langle 0, 0, 0 \rangle⟨0,0,0⟩
⟨1,1,1⟩\langle 1, 1, 1 \rangle⟨1,1,1⟩
⟨3,3,3⟩\langle 3, 3, 3 \rangle⟨3,3,3⟩
⟨−1,−1,−1⟩\langle -1, -1, -1 \rangle⟨−1,−1,−1⟩