Quick question. Are you currently (or have been) a student of differential calculus (a.k.a., Calculus I)? If so, maybe you can guess what is on that (potentially-cryptic) graph above?
What. Inverse functions of course! Just look at that beautiful shape and how well they correspond with each other!
(OK. Bonus point: can you guess which functions they are?)
Yep. There is definitely more than meet the eyes. Granted, inverse functions are studied even before a typical calculus course, but their roles and utilities in the development of calculus only start to become increasingly apparent, after the discovery of a certain formula — which related the derivative of an inverse function to its original function. And guess what? That — is the topic that we’ll be delving into in greater details today.
So… hang on tight there, as you are about to travel to the land of exotically-strange functions in a few seconds. 😉 More