  We report the differential representation of three-point and four-point
amplitudes for Yang-Mills fields and Einstein gravity in AdS at tree-level. The
amplitudes exhibit the flat-space structures by using the weight-shifting
operators with reordering, which makes the differential double copy relation at
the three-point level straightforward. For four-point Yang-Mills amplitudes, we
establish the differential BCJ relation, which can be useful for proving the
differential doubly copy at the four-point level in the future.
