  We prove the asymptotic formulae for several moments of derivatives of GL(2)
L-functions over quadratic twists. The family of L-functions we consider has
root number fixed to -1 and odd orthogonal symmetry. Assuming GRH we prove the
asymptotic formulae for (1) the second moment with one secondary term, (2) the
moment of two distinct modular forms f and g and (3) the first moment with
controlled weight and level dependence. We also include some immediate
corollaries to elliptic curves via the modularity theorem and the work of Gross
and Zagier.
