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2 Nov 2021

Given information

Given function is   and has maximum value of at .

Step-by-step explanation

Step 1.

Use the given function,

   

Differentiate the given function with respect to ,

 

As the given function has maximum value of at and the given point is critical point.

We know that at the critical point, the first derivative of the function is , then we get

 

                               

                                 

From the above expression, we can say

or  

    or   

but if , the would always be zero, which is not possible.

Hence,  

 

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Single Variable Calculus: Early Transcendentals
4th Edition, 2018
Stewart
ISBN: 9781337687805

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