Thrust selection after engine failure/ fire on takeoff

[de facto]

I fully agree with JhonT and SN3 Guppy, just Guppy, in 737 we clean up first before selecting MCT,then keep that thrust setting until level off at a safe altitude.

With derate,unless some really feels wrong,leave the remaining thrust alone.
If you need this extra thrust,get rid of the ASSUME using FMC N1 but NO TOGA or fire wall