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Finding Critical Numbers - Example 1

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Finding Critical Numbers - Example 1. In this video I show how to find the critical numbers of a rational function. For more free math videos, visit http://PatrickJMT.com

Channel: Education
Uploaded: November 30, 1999 at 12:00 am
Author: patrickJMT

Length: 04:42
Rating: 4.979592
Views: 70409

Tags: math  calculus  critical  numbers  find  finding  example  increasing  decreasing  interval  test  local  maximum  justmathtutoring  

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Video Comments

wolf0805 (November 30, 1999 at 12:00 am)
What is an example of when it is undefined and in the domain?
patrickJMT (November 30, 1999 at 12:00 am)
@moonira0209 the domain of the function... videos on that too : )
moonira0209 (November 30, 1999 at 12:00 am)
What does he mean by domain? Wats the domain here?
patrickJMT (November 30, 1999 at 12:00 am)
@iixsarah the values also have to be in the domain of the original function. this is the part no one remembers!
patrickJMT (November 30, 1999 at 12:00 am)
@vindrila ha : )
vindrila (November 30, 1999 at 12:00 am)
I should make "Thank you" auto comment for your videos ;)
reedOsama (November 30, 1999 at 12:00 am)
@iixsarah the derivative f '(x) needs to be undefined but if you plug 3 and -3 into the original equation f(x) it's also undefined which means it doesn't exist on the graph... at least that's how I understand it.
patrickJMT (November 30, 1999 at 12:00 am)
@brittnibeers you should read the definition a bit closer for critical numbers. 
brittnibeers (November 30, 1999 at 12:00 am)
I DON'T UNDERSTAND WHY ISN'T 3 AND -3 ACCEPTED. Critical numbers are defined as f'(x)=undefined so why why WHYYY ;A;
iixsarah (November 30, 1999 at 12:00 am)
but arent critical numbers x-values such that f'(x)=0 and/or f'(x)=undefined? so why can't -3 and 3 work? if you plug it into the derivative, it's undefined..


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