It seems that this question is asking for us to go backwards and since there are no examples in the book or a professor to teach me anything (it seems) I could use some help. Assume I know little because I do. Here is the question.

The limit represents the derivative of some function f at some number a. State such an f and a in each case.

lim (4throot of 16 + h) - 2 Divided by h
h -> 0


lim t^4 + t - 2 divided by t - 1
t ->1

It may not be reverse derivatives but that sounds the best to me cause I have no clue.