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15 Nov 2021

Given information

Given:-

local maximum and minimum values     

critical points                                       

increasing intervals                             

decreasing intervals                             

Step-by-step explanation

Step 1.

To find the concavity and the inflection points we will determine the second derivative test.

 

we have already found the first derivative in the part one

    (by using differentiation rule)

the domain of the second derivative is 

    (domain of a polynomial function)

substitute  

 

solving this equation for x we find the result below

 

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

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