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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
22 Dec 2021

Given information

Given function is 

Step-by-step explanation

Step 1.
The given function is
 
 
 We need to find   
 
 Let's rewrite the given function as   
 
Applying The Product Rule
and  
 
we obtain   
 
Using again The Product Rule, we obtain
 
 
 
Continuing the procedure it follows:
 
Therefore, we can notice that with each subsequent differentiation the sign in front of  and   changes, and that we have one more member of  
 
Hence,   can be represented as:
 

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