Cracking The Ap Calculus ab Exam 2018

(Marvins-Underground-K-12) #1

You could also write


f(x)    =       as  f(x)    =   u

Then 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.

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