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

4th Edition

ISBN: 9781319055905

Author: FRANZOSA

Publisher: VST

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Question

Chapter 4.2, Problem 51E

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 50E

Chapter 4.2, Problem 52E

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Chapter 4 Solutions

EBK CALCULUS: EARLY TRANSCENDENTALS

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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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