Explanation Given: f ( x ) = x 2 x 2 − 4 x + 8 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 2 x 2 − 4 x + 8 Differentiating the above function with respect to x, we get f ' ( x ) = d d x ( x 2 x 2 − 4 x + 8 ) = d d x ( x 2 ) ( x 2 − 4 x + 8 ) − d d x ( x 2 − 4 x + 8 ) x 2 ( x 2 − 4 x + 8 ) 2 f ' ( x ) = ( 2 x ) ( x 2 − 4 x + 8 ) − ( 2 x − 4 ) x 2 ( x 2 − 4 x + 8 ) 2 Expanding the numerator, we get f

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ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 4.2, Problem 10E

To determine

To find all the critical points of the function f(x)=x2x2−4x+8

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Chapter 4.2, Problem 9E

Chapter 4.2, Problem 11E

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To find all the critical points of the function f ( x ) = x 2 x 2 − 4 x + 8

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)=x2x2−4x+8

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Chapter 4 Solutions