First, IANAL. But let us check the part of the text of the two licenses you mentioned. MIT license states:
The above copyright notice and this permission notice
shall be included in all copies or substantial portions of the Software.
BSD license states:
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions are
* Redistributions of source code must retain the above copyright
notice, this list of conditions and the following disclaimer.
* Redistributions in binary form must reproduce the above copyright
notice, this list of conditions and the following disclaimer in the
documentation and/or other materials provided with the distribution.
So in both texts, it is required to include the copyright notice, if you distribute your software as text or as binary does not matter.
AFAIK there is nothing in the text telling you exactly how or in which form you have to provide the copyright notice. However, the notice should be easy to find and not cause unreasonable effort for your client - you clearly should not hide the notice from the client. So it should be there where the "standard documentation" is. If, for example, you are creating some kind of embedded device with a network plug, where most of the standard documentation will be available by navigating to a specific URL using a browser, then I don't think you need to provide a separate copyright notice. If, however, the standard documentation is a printed manual, you should consider to provide the information there.
The final call on this can only make a judge, who will do this only in court, after someone tries to sue you, which will hopefully not happen.