Explanation Given: y = | x 2 + 4 x − 12 | We know that the critical points are the points at which the derivatives of the function become zero or undefined. Let, f ( x ) = y = | x 2 + 4 x − 12 | = | ( x + 6 ) ( x − 2 ) | From the graph, it is clear that f’(x) does not exist at x = – 6 and at x = 2. Hence, these are the critical points of f(x)

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 4.2, Problem 55E

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To find all the critical points of the function y=|x2+4x−12|

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Chapter 4.2, Problem 54E

Chapter 4.2, Problem 56E

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Chapter 4 Solutions

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To find all the critical points of the function y = | x 2 + 4 x − 12 |

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 y=|x2+4x−12|

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Chapter 4 Solutions