** Abstract: **
Quadrature formulas for $\int_a^b f(x) dx$ where derivative terms need only be evaluated at
$a$ and $b$ in the composite rule are identified.
Error bounds are given when $f:[a,b]\to\R$ satisfies $f^{(n-1)}$ is absolutely continuous so that
$f^{(n)}\in L^p([a,b])$, and when $f^{(n-1)}$ is merely continuous.