Sorry, I did not write the problem properly. There is one specific J\in(0,1), and I want
\frac{d(\int^{1}_{0}(s(i)^{\alpha})di)}{d(s(J))}. That is, the derivative with respect to that specific s(J). And yes, it is to the power of \alpha.
Hi all,
This is my question. Suppose that I have a continuum of people on the measure [0,1]. Then, I want to aggregate their spending as follows,
\int^{1}_{0}(s^{\alpha}(i))di
where i is any person in [0,1]. Suppose that I want to compute the derivative of the previous expression if...