The height of a certain hill (in meters) is given byh(x,y)= 10 ( 2x y- 3x^2- 4y^2- 18x+ 28y+ 12),

whereyis the distance (in kilometers) North,xthe distance East

(a) How steep is the slope (in meters per kilometer) at a point 1 km north and 1 km east and in what direction is the slope the steepest at that point?

I know this has something to do with partial derivatives, but I am not 100% sure of the step proces..