Thread: Compute f'(x) and finding critical numbers

Hey guys

Here's the solution to a question i had on a test



ok so i don't understand how they got from:

to


and i don't get how they find the "set numerator to 0" and "set denominator to 0" answers.

any help REALLY appreciated, thanks!

This looks like a part of a test or assignment, and it is against MHF Policy to post these..


Read Rule No 6.

When you differentiate this:



you get:



using the quotient rule.

The denominator can be written as:



and the quotient rule applied:
If


then;



When you set the numerator to zero, you are looking for the maxima and minima (and/or inflexion)
When you set the denominator to zero, you are looking for the vertical asymptotes.