Effective action quantum field

I am reading Peskin and Schroeder Section 11.4. They derive a formula for the effective action p.372 Equation 11.63 using a scalar field interaction,

$$
Gamma left ( phi _{cl} right )=int d^{4}L_{1}left [ phi _{cl} right ]+frac{i}{2}logtext{Det}left [ frac{partial ^{2}L_{1}}{partial phi partial phi } right ]$$
$$- i: Connected: Diagrams+int d^{4}xdelta Lleft [ phi _{cl} right ].tag{11.63}
$$

They use this formula to determine the effective potential. If I want to do the same for a Lagrangian with with a scalar field and fermion field, can I use the same reasoning and technique to get a formula for a scalar field and fermion field?