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.

# Category: Power Rule

We use the power rule to explore how an idea can be used to connect many different topics. Using this, we provide motivation for studying many topics in Calculus.

## Quotient Rule

We find the quotient rule for derivatives and use it to expand upon the power rule.

## Product Rule

We learn the product rule for derivatives and even sing a little.

## Power Rule

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.

## Dividing by zero: Imploding the Universe.

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.