We just need to check the local maximum, the local minimum and the points on the boundary. From question above, we know that it has only one local minimum and no local maximum. Since is not on , we only need to find the min and max on the boundary.
On :
The critical points from above occur when which is at , neither of which are in . Thus, we just test the endpoints: and . These are two values we will consider later.
On :
at and . As is not in we ignore it. We now compute and the value at the endpoints with and .
From all of this, we find and .