Explanation Given: The given function is y = x 3 − 6 x 2 + 8 . Calculation: Given:the given interval is [ 1 , 3 ] . Use sum rule . ( f + g ) ' = f ' + g ' y = x 3 − 6 x 2 + 8 y ' = d d x ( x 3 ) − d d x ( 6 x 2 ) + d d x ( 8 ) = 3 x 2 − 12 x For critical point y ' = 0 . 3 x 2 − 12 x = 0 ⇒ 3 x ( x − 4 ) = 0 ⇒ 3 x = 0 and x − 4 = 0 ⇒ 3 3 x = 0 3 and x −

4th Edition

ISBN: 9781319050740

Author: Jon Rogawski, Colin Adams, Robert Franzosa

Publisher: W. H. Freeman

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Chapter 4.2, Problem 33E

To determine

Find theminimum and maximum values of the given functionin the given interval by comparing with critical and end points.

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Chapter 4.2, Problem 32E

Chapter 4.2, Problem 34E

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Chapter 4 Solutions

Calculus: Early Transcendentals

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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Find theminimum and maximum values of the given functionin the given interval by comparing with critical and end points.

Solution Summary: The author calculates the minimum and maximum values of the given function by comparing with critical and end points.

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Find theminimum and maximum values of the given functionin the given interval by comparing with critical and end points.

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Chapter 4 Solutions