We will discuss a new approach to proving the Ferrero-Greenberg formula for the derivative of a Kubota-Leoplodt p-adic L-function at s=0. The aim is to provide a proof which uses two-variable p-adic L-functions in a manner analogous to the Greenberg-Stevens proof of the Mazur-Tate-Teitelbaum conjecture for elliptic curves. In the Kubota-Leopldt setting, we use the Katz two-variable p-adic L-function attached to an imaginary quadratic field K. This is joint work with Ralph Greenberg and Shaowei Zhang.