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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
7 Dec 2021

Given information

Use a graph to estimate the coordinates of the leftmost point on the curve then find at what point does the curve have the vertical and horizontal tangent.

 

Step-by-step explanation

Step 1.

Given:

The graph of the function is 

 

 

 

For vertical tangents 

The slope of tangent is at the point

Then 

Factoring we get 

Now for

For 

For

Similarly 

Solving 

 

Similarly 

Hence 

Vertical tangents are 

Horizontal tangents coordinates are

 

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