Explanation Given: f ( x ) = x x 2 + 1 We know that the critical points are the points at which the derivatives of the function become zero or undefined. Here, the given function is f ( x ) = x x 2 + 1 Differentiating the above function with respect to x, we get f ' ( x ) = d d x ( x x 2 + 1 ) = d d x ( x ) ( x 2 + 1 ) − d d x ( x 2 + 1 ) x ( x 2 + 1 ) 2 = ( 1 ) ( x 2 + 1 ) − ( 2 x )

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 4.2, Problem 9E

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To find all the critical points of the function f(x)=xx2+1

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Chapter 4.2, Problem 8E

Chapter 4.2, Problem 10E

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Chapter 4 Solutions

Calculus - Standalone book

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To find all the critical points of the function f ( x ) = x x 2 + 1

Solution Summary: The author explains that the critical points are the points at which the derivatives of the function become zero or undefined.

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To find all the critical points of the function f(x)=xx2+1

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