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

Question

( A ) $\overrightarrow{E}=\widehat{i}(2xy-z^{3})+\widehat{j}x^{2}+\widehat{k}3xz^{2}x$
( B ) $\overrightarrow{E}=\widehat{i}2xy+\widehat{j}(x^{2}+y^{2})\widehat{k}(3xz-y^{2})$
( C ) $\overrightarrow{E}=\widehat{i}(2xy+z^{3})+\widehat{j}x^{2}+\widehat{k}3xz^{2}$
( D ) $\overrightarrow{E}=\widehat{i}z+\widehat{j}xyz+\widehat{k}z^{2}$