How does a cap on a regulator output improve transient response? Is this cap not more appropriately drawn next to the load where it is not being defeated by intervening trace inductance? Or does this output cap serve a different purpose than the typical bypass caps seen on a digital IC power supply pin?
http://www.ti.com/lit/ds/symlink/lm340-n.pdf
Edit: This has been flagged as a possible duplicate. While the answers may have some overlap, the titles of the three questions I asked are very specifically different questions. This should be evident upon reading the Titles.