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 ...

There you are in your introductory physics course. The course requirements say that you have to be in Calculus 101 (it's probably not called that) in order to enroll in Physics 101. Why? There are two ...