You could also write
f(x)    =       as  f(x)    =   uThen you could derive the Quotient Rule using the Product Rule.
For the Quotient    Rule,   remember    that    order   matters!Here are some more examples.
Example 4:
Example 5:
We’re   not going   to  simplify    these,  although    the Quotient    Rule    often   produces    expressions that    simplify
more     readily     than    those   involving   the     Product     Rule.   Sometimes   it’s    helpful     to  simplify,   but     avoid   it
otherwise.  When    you have    to  find    a   second  derivative, however,    you do  have    to  simplify    the quotient.   If
this    is  the case,   the AP  Exam    usually will    give    you a   simple  expression  to  deal    with,   such    as  in  the
example below.
