Crosswind takeoffs - at liftoff the cross control should be approximately the same as if you'd just touched down on landing.
If X crosswind controls = zero drift on touchdown that's the expected, and desired, performance on liftoff.
It's a blend of technique and mechanical inputs. Boeing talks about 'smoothly'.
Mechanically? Rudder input will be greater than required aileron input(only enough to maintain wings level) while accelerating. At rotation more aileron will be require. How much? Think of your crosswind landing control inputs - if X rudder than give X aileron a try and make small(smooth) adjustments as you lift off and start your initial climb.
Smooth input as necessary, maybe a slight increase immediately prior to Vr to achieve correct cross control for zero sideload on liftoff, reduce rudder first to allow nose to turn into wind (equal to crosswind) to maintain runway track, and level wings on correct heading.
It's nice to see done correctly. If you've never flown with the other pilot before you'll have some insight to their ability by 100' on departure if there's a stiff crosswind. Hopefully it's
and not
.
(the slight increase in aileron is my opinion and no comment is made about it in Boeing statements)