We explain what the chain rule is and why it works. We then use it to show the power rule works for all real number exponents.
We find the quotient rule for derivatives and use it to expand upon the power rule.
We learn the product rule for derivatives and even sing a little.
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.