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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
30 Dec 2021

Given information

Given the function is   

Step-by-step explanation

Step 1.
We need to find the local and absolute extreme values of the function  on the interval  
 
We first need to find the critical points at a given interval. From the Definition, critical points are points where the function is defined and its derivative is zero or undefined. Find the first derivative
 
                  where   
 
                         Substitute back   
                           
 
Find where   is equal to zero or undefined. That is
 
                                                               
 
Thus we get   are critical points and   is the endpoint. Replace    in  
 
                                                         

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