afaik dx11 comes together with win 7 and so far i haven't seen updates for it (the same goes for dx10). but for fresh installed win 7 you need to update dx9.0c.
the first black ops is not even a dx10 title. i think that couple of missing files are from dx9
They were, which was the weird thing. d3dxd9_43.dll or something like that. There were two files missing. I reinstalled DX11 (the game itself wanted to install DX9) and everything was right as rain.
For windows 7 direct x 9 is best... because many times i download directx 11 in my pc... but it shows couple of dll files missing.. and didn't work.. yoy may update dx 9