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

4th Edition

ISBN: 9781319545956

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 4.2, Problem 50E

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 49E

Chapter 4.2, Problem 51E

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Chapter 4 Solutions

CALCULUS W/ACHIEVE PLATFORM

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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