What is the relationship between limits and derivatives? Explain with examples of your own.

Step-by-step explanation:

Assume you have a function of x, call it f (x).

The limit of the function as x approaches some number represents the value of f with respect to x.

The derivative of f (x) represents the rate of change of the function at x.

So the derivative would give you the rates of change of the function as x approaches some number.