Find the Directional Derivative of the Given Function at the Specified

Essay

Find the directional derivative of the given function at the specified point $P$ in the direction $\vec { u }$ $f ( x , y ) = x e ^ { y } , P = ( 2,0 ) , \vec { u } = \left\langle \frac { 1 } { 2 } , \frac { \sqrt { 3 } } { 2 } \right\rangle$