Most days the runway offers more than the take-off needs, and this closing lesson of the module is about spending that surplus wisely: on the engines, through reduced or derated thrust; on the field-versus-climb trade, through the flap setting; and on the climb itself, through the increased-V2 procedure. Each optimisation buys something, pays with something, and answers to the same hard ceilings of brake energy and tyre speed.
Flex and derate
Two different ideas hide behind reduced take-off thrust. Flex (reduced thrust by the assumed temperature method) pretends the day is hotter than it is: the crew finds the highest temperature at which the take-off would still work at the actual mass, and sets the thrust the full rating would give on that imaginary day. It is not a new rating: the full thrust remains one lever-push away, and every control speed, VMCG and VMCA included, stays that of the full rating. A derate is a genuine re-certification downward: a lower rating with its own limits and its own lower VMCG and VMCA, and precisely because the control speeds were built on the lower thrust, pushing the levers back up during the take-off is forbidden.