The function used is:

g(x)=[e^(Uo/A)][e^(-x^2)/(2A)]

where x is a quantity of a good, Uo is a constant that represents utility, and A is a positive constant.

We have to prove that the graph of g(x) is concave down for x < √(A) and concave up for x > √(A).

How do we verify this?

Please help me with this question.

Thank you everyone in advance!