# proof of derivative properties

## derivation of the quotient rule

The quotient rule is used to take the derivative of a function with divided expressions:

It is possible to prove this rule by utilizing the definition of the derivative; however, this is not nearly as elegant as the following simple proofs which use other derivative properties instead.

### product rule

### logarithm

## logarithmic proofs

As well as being used in the proof of the quotient rule, logarithms can also be used to prove a couple of other derivative rules.