Perhaps a sketch will help . . .Find the point on the graph of nearest to the pointCode:| | * | (x,y) * | o | * \ |* \d | \ - - * - - - o- - - - - | (4,0)
The point has coordinates
We want its distance from to be a minimum.
The distance is: .
. . So we have: .
Therefore, the nearest point is: .