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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
30 Dec 2021

Given information

Given 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
 
                                                                                 
                                                                                               the   chain rule 
  
                                                                                          
Find where   is equal to zero or undefined. That is
                                                                        
                                                                           
 
Here,   then the critical points are , and are the endpoint. Replace  in  
 
                                                                                     
 
 Replace     in  
 
                                                           
                                                                         

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