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Problem

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1 Nov 2021

Given information

Given the function is  .

The main objective is to find the intervals of concavity and the inflection points.

 

Concavity:

The function  is concave upward in an interval if   on that interval.

The function  is concave downward in an interval if on that interval.

The inflection point is defined as the point at which the concavity of the function  changes from up to down or down to up.

Step-by-step explanation

Step 1.

Find  :

 

Solve  :

 

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

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