Mathematics for Economists

Calculus of variations

1 +



x

 2

=



x

 2

+xx+



x

 4

+xx



x

 2

x



x

 (^2) 
x
1 +



x

 2 =

1 +



x

 4

+ 2



x

 2

=



x

 2

+xx+



x

 4

Which simpliÖes to

1 =xx



x

 2