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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
13 Nov 2021

Given information

As per the given question ,

  • The function attains its local maximum at  and is continuous but not differentiable at 

Step-by-step explanation

Step 1.

The objective is to sketch the graph of a function that has a local maximum at   and is continuous at   but not differentiable at  

Assume the function  

 

The function   is continuous at   and has a local maximum at   . The function is also not differentiable at  .

 

The Graph of a function is shown below ,

 

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