  Let p be an odd prime and F a totally real number field. Let f be a Hilbert
cuspidal eigenform of parallel weight 2, trivial Nebentypus and ordinary at p.
It is possible to construct a p-adic L-function which interpolates the complex
L-function associated to the symmetric square representation of f. This p-adic
L-function vanishes at s=1 even if the complex L-function does not. Assuming p
inert and f Steinberg at p, we give a formula for the p-adic derivative at s=1
of this p-adic L-function, generalizing unpublished work of Greenberg and
Tilouine. Under some hypotheses on the conductor of f we prove a particular
case of a conjecture of Greenberg on trivial zeros.
