Differentiation with respect to the index of the summation notion?

333 Views Asked by At

$$\sum_{t=1}^k \binom{N-1}{t-1} \int[1-F(s)]^{N-1}[F(s)]^{t-1}g(s)\,ds$$

$k\in\mathbb Z ^+$

If I want to find out the effects of changing $k$ (comparative statics), what can I do? Differentiation will not work in this case, will it?