We show, step-by-step, how to find the derivative of four different examples of functions.
We show, step-by-step, how to find the derivative of a function using the limit definition of derivative.
We are now ready to look at the power rule for derivatives. We will therefore begin by going through an example, followed by a proof that the rule we come up with will work in general.
We can use this to show that every number is in fact equal to every other number, and the universe would implode into a single point.