Find the Value of the Gradient Vector Field of the Function

Multiple Choice

Find the value of the gradient vector field of the function $f ( x , y ) = e ^ { xy ^ { 2 } }$ at the point $( 1,1 )$ .

A) $e \mathbf { i}$
B) $e \mathrm { j }$
C) $2 e \mathbf { i }$
D) $2 e \mathrm { j }$
E) $e \mathbf { i } + e \mathbf { j }$
F) $e \mathbf { i } + 2 e \mathbf { j }$
G) $2 e \mathbf { i } + 2 e \mathbf { j }$
H) $2 e \mathbf { i } + e \mathbf { j }$