Find the gradient of f(x,y,z)=x2+y2−z2f(x, y, z) = x^2 + y^2 - z^2f(x,y,z)=x2+y2−z2 at (1,1,1)(1, 1, 1)(1,1,1).
⟨2,2,−2⟩\langle 2, 2, -2 \rangle⟨2,2,−2⟩
⟨1,1,−1⟩\langle 1, 1, -1 \rangle⟨1,1,−1⟩
⟨2,2,2⟩\langle 2, 2, 2 \rangle⟨2,2,2⟩
⟨0,0,0⟩\langle 0, 0, 0 \rangle⟨0,0,0⟩