Hi there,
Many factors are taken into account for Takeoff performance and most pilots are aware of it.(low Qnh,runway contamination,aircraft limitations...)
However on B737s, emergency turns at V2 banking into the failed engine may be fatal if unaware of spoiler turn assist problems.
Not banking into the good engine may drastically reduce the Vmca on which V2 minimum is calculated from.
So if you have the choice,turn into the good engine as it is how Vmca was calculated in the first place.(3-5 degrees).
Most crews are unaware of Missed approach climb gradient performance limitation for their aircraft,which should be known before dispatching the flight...
1)Runway(lengh/width) limit
2)0bstacle limit
3)Climb limit
4)Aircraft/weather/Crew limit