As I recall, the 35mm f/1.8 DX-Nikkor covers the 5:4 (aka the 8x10 aspect ratio) crop area that the D3 and D4 cameras offer as an in-camera cropping/capture size option. The 35/1.8 DX is an inexpensive lens, selling for $130-$150 used most often, so, you're not "into it" too much.
This page will explain it a bit better and more thoroughly:
Using Nikon DX Lenses on FX Cameras this is for the 35mm f/1.8 DX-Nikkor lens:
"
How can you expect it to perform on FX? I was pleasantly surprised. As expected, FX corner performance is nothing to write home about, and some noticeable vignetting is visible. However at larger apertures (larger than F8) the vignetting is bearable. Large aperture prime lenses are often used to draw attention to a single object, and then corner sharpness is seldom crucial. Vignetting may be aesthetically pleasing, and can be corrected to some extent. The center performance remains impressive, as this is what the lens has been designed for."
And again, as I mentioned, I think it "covers" the 5:4 crop area fully, without light falloff. The consumer FX bodies (D600 series for example) do not offer the in-camera 5:4 crop option, but they DO offer the Auto
DX crop option, which is smaller, and which the 35/1.8 DX will fill totally. A person can easily turn the Auto DX Crop option to OFF, and that will allow any DX lens to project whatever it "can" onto the entire sensor area of 24x36mm,and you can crop off the dark edges in post.
Some of the newer FX Nikon cameras, like the D750, offer a 1.2x crop, which is a 30x20mm size...
I found these two test shots on Flickr: the first on is shot on a D600, at Full-Frame using the 24x36mm
FX frame area. See the upper left corner? That is how bad it vignettes,
fx mode Flickr - Photo Sharing
This second frame is the same scene, but the D600 switched to DX mode:
dx mode Flickr - Photo Sharing