Explanation Given: y = 4 x − x 3 2 Formula Used: Calculation: We know that the inflection points are the points at which the sign of the second derivatives of the function changes. Here, the given function is y = 4 x − x 3 2 Differentiating the above function, we get d y d x = 4 − 3 2 x To find out the critical points, we equate the above equation to zero. i.e. 4 − 3 2 x = 0 On solving this, we get x = 64 9 Therefore, the critical point of the given functionoccursat x = 64 9

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Chapter 4, Problem 50CRE

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To find the points of inflection for the function, y=4x−x32.

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Chapter 4, Problem 49CRE

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Chapter 4 Solutions

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Ch. 4.1 - Prob. 1PQ Ch. 4.1 - Prob. 2PQ Ch. 4.1 - Prob. 3PQ Ch. 4.1 - Prob. 4PQ Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E Ch. 4.1 - Prob. 5E Ch. 4.1 - Prob. 6E

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To find the points of inflection for the function, y = 4 x − x 3 2 .

Solution Summary: The author explains that the inflection points are the points at which the sign of the second derivatives of a function changes.

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To find the points of inflection for the function, y=4x−x32.

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