In the Introduction to the Derivative video we introduce the notion of the derivative of a function and explain how the derivative captures the instantaneous rate of change of a function. In the ...
A function with continuous nonzero derivative whose inverse is nowhere continuous is given. The function satisfies all the premises of the inverse function theorem except one: it is not defined on an ...
Inositols are ancient molecules that were probably first made by a common ancestor of Archaea and Eukarya more than 2,000 million years ago. They are used by relatively few Bacteria.The ...