The document discusses taking the partial derivative of the Birch and Swinnerton-Dyer conjecture. It shows that the derivative of L(C,s) with respect to r and s can be written as c{(sr(lns)-(s))dr + ((r)s(r-1)-(r))ds}. It then evaluates this at r=2, s=1, finding the partial derivative is equal to c(-2).