Find and classify all local maxima, minima and saddle points for the surface:
last question for my assignment
So we see that we have critical points when and
This implies that and
So we see that and
So our critical points are , , , .
Now apply the second partials test:
Recall that if:
, then has a relative minimum at
, then has a relative maximum at
, then has a saddle point at
, then no conclusion can be drawn.
Try to take it from here.