The electric potential at a point (x, y, z) is given by \[V=-{{x}^{2}}y-x{{z}^{3}}+4.\] The electric field E at that point is

• A. \[\vec{E}=\hat{i}2xy+\hat{j}({{x}^{2}}+{{y}^{2}})+\hat{k}(3xz-{{y}^{2}})\]
• B. \[\vec{E}=\hat{i}{{z}^{3}}+\hat{j}xyz+\hat{k}{{z}^{2}}\]
• C. \[\vec{E}=\hat{i}(2xy-{{z}^{3}})+\hat{j}x{{y}^{2}}+\hat{k}3{{z}^{2}}x\]
• D. \[\vec{E}=\hat{i}(2xy+{{z}^{3}})+\hat{j}{{x}^{2}}+\hat{k}3x{{z}^{2}}\]