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Using the method of Lagrange multipliers, we have the Lagrangian
with partial derivatives (set equal to 0)
From
and 
, we find that 
. Then substituting into 
, we find
and substituting these into
, we get
So we have two possible critical points,
, which give extreme values of 
and 
, respectively.
with partial derivatives (set equal to 0)
From
and substituting these into
So we have two possible critical points,