How does the quotient rule differ from the product rule?
The simple answer is that the
is used when you want to find the derivative of a function which can
easily be viewed as one function divided by another function.
can be viewed as
The Product Rule:
is used when you want to find the derivative of a function which can be easily viewed as one function multiplied by another function.
The more complex answer is that they aren't really different rules:
Given a function
if you replace
and apply the Product Rule
(with some care)
you will end up with the Quotient Rule.
[if you decide to try this you will need to remember