A derived functor is a tool in homological algebra that extends the notion of a functor to measure the failure of a functor to be exact. Derived functors provide a way to systematically study how algebraic structures, like modules or sheaves, behave under certain transformations. They allow mathematicians to extract deeper information from complexes, especially in cohomological contexts such as Čech cohomology.
congrats on reading the definition of Derived Functor. now let's actually learn it.