Find and classify all local maxima, minima and saddle points for the surface:
last question for my assignment
thanks!
Find where and
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.
--Chris