Determine the largest subset of3on which the given vector field is differentiable.F =(x2 y2 z2+6)4/3, x cos(yz),xy9 z2{(x, y, z) in 3| z 3}{(x, y, z) in 3| x2+ y2+ z2>6}{(x, y, z) in 3| z 9}{(x, y, z) in 3| xy 0}{(x, y, z) in 3| x2+ y2+ z2<6}