In this article, we will first quickly summarize what it means to find the derivative of a function with a few examples. After we will show how we can prove that a function is differentiable for every x equal to a real number, R. To do so, we will need to use the concept of continuity.
Recap of the Derivative
We remember that the derivative is the rate of change of a function with respect to its variable, x. In other words, the derivative simply shows how much the function is changing, either…