Mathematics for Economists

Calculus of variations

r

1 +



x

 2

=

r

1 +



x

 2 

xx

 0

(^) r
1 +



x

 2!^0

xx

1 +



x

 2

r

1 +



x

 2

=

r

1 +



x

 2 

x

 2

+xx



^2

xx

2

r

1 +



x

 2 x

x

1 +



x

 2

1 +



x

 2

=



1 +



x

 2 

x

 2

+xx



x



x

 (^2) 
x
1 +



x

 2 =