# Rules of Differentiation: The Quotient Rule

### Erin Horst

Now that we have explored derivatives, we can now progress
to the rules of differentiation. These rules are simply formulas
that instruct the learner how to compute derivatives depending
on a given function.

This next rule is more complex than the sum/difference rule
or the power rule, but is very useful. Let's say we have a function
*h(x) *that is the quotient of two functions *h(x)=f(x)/g(x)*,
then to find the derivative of *h(x)*, we use the following
rule

Consider the following graphs of functions and their respective
derivatives as illustrations of the rule. It is highly suggested
that you verify the derivative.

The following graph illustrates the function and
its derivative .

The following graph illustrates the function
and its derivative

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