Find the gradient of f(x,y,z)=4x−2y+7zf(x,y,z) = 4x - 2y + 7zf(x,y,z)=4x−2y+7z at any point in R3\mathbb{R}^3R3.
⟨4,−2,7⟩\langle 4, -2, 7 \rangle⟨4,−2,7⟩
⟨4x,−2y,7z⟩\langle 4x, -2y, 7z \rangle⟨4x,−2y,7z⟩
⟨4,2,7⟩\langle 4, 2, 7 \rangle⟨4,2,7⟩
⟨0,0,0⟩\langle 0, 0, 0 \rangle⟨0,0,0⟩