On the Wikipedia article for hypercohomology I find the following sentence.
Hyperhomology is no longer used much: since about 1970 it has been largely replaced by the roughly equivalent concept of a derived functor between derived categories.
Unfortunately, they give no reference. Is there a good article or book that explains the new definition using derived functors between derived categories and the equivalence between the two concepts?
Possibly this is a stupid question and the equivalence follows easily from the relevant definitions. I just started reading about hypercohomology and don't know anything about derived categories. If this is the case, I'd also like to know. Even a thumbnail sketch of what's going on would be greatly appreciated.