Please help on this one....

Don't really understand the problem. What they ask me to do.

It says..

Solve the following maximization problem:max xy^(1\2)x,ysubject to X^(2) +(c*y)^2 <= 1,x,y => 0, wherec> 0 .

Let V(c) denote the maximized value of the objective function (as a function of c).

Calculate V ' (c).