TITLE: Hypercohomology - now replaced by derived functors?
QUESTION [5 upvotes]: 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.

REPLY [3 votes]: Once you understand the construction of a derived category and what the derived pushforward is all about, then the answer is easy: If you have a complex in $C^\bullet \in D(X)$ and a map $p:X \to pt$, then $\mathbb{H}^k(X,C^\bullet) = \mathbf{R}^kp_*(C^\bullet) = H^k(\mathbf{R}p_*(C^\bullet))$. Note that I make no reference to which derived category you are looking at since this is irrelevant; it holds true for coherent sheaves, local systems, constructible complexes, and so forth.