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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
19 Nov 2021

Given information

If  is the function considered in Example , use a computer algebra system to calculate  and then graph it to confirm that all the maximum and minimum values are as given in the example. 

Step-by-step explanation

Step 1.

We have the function

  

Differentiating the function

  

From the graphing calculator, the critical points are   and , because at and  
Since is not defined at so are critical points of .
 
Since on so  is increasing on  
 
Since on , so is decreasing on  

 

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