Question

This is a CALCULUS question, "Derivatives As A function"

I want to know the answer and how did u get it, I'm really lost in this subject

Answer 1

Derivative Functions

The derivative function gives the derivative of a function at each point in the domain of the original function for which the derivative is defined. We can formally define a derivative function as follows.

Definition:

let f be a function. The derivative function, denoted by f', is the function whose domain consists of those values of x such that the following limit exists:

`f'(x)= \lim_\\ \ \\ (f(x+h)-f(x))/(h) {h \to 0}`