Find the Direction in Which the Given Function Increases Most $f ( x , y , z ) = x e ^ { z } - y e ^ { x } , P = ( 0,2,0 )$

Essay

Find the direction in which the given function increases most rapidly at the given point. $f ( x , y , z ) = x e ^ { z } - y e ^ { x } , P = ( 0,2,0 )$