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12 Nov 2021

Given information

As per the given information :

To state : The first derivative test.

Step-by-step explanation

Step 1.
Let us State the First Derivative Test,
First find the derivative of   that is denoted by .
If changes from positive to negative at , then has a local maxima at .
If changes from negative to positive at , then has a local minima at .
If does not changes sign at , then has not local minima or maxima at .
 

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

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