Is there a way to connect an external display to a Nintendo DS/DSi/DSXL?
Solution 1:
There is one non-hack way you can, but chances are you won't be able to get your hands on the hardware to do so. The IS-NITRO-CAPTURE is a Nintendo product that allows you to connect your DS or GBA to it, and has AV Out ports and a USB out port. This is the device that Nintendo uses at events such as E3 to show DS gameplay on a big TV. Here is a video review of the product. Unfortunately, this device costs about $3000 dollars, and it not available for consumers to buy.
If you have a friend who works at Nintendo though...
Solution 2:
As far as I know, there's no simple way to attach an external monitor to any kind of DS - it doesn't have a video output connector anywhere on it.
It's possible, though, if you're willing to hack it to pieces and build your own breakout device.