Explanation Given: The given function is y = 2 t 3 + 3 t 2 . Calculation: Given:the given interval is [ 1 , 2 ] . Use sum rule . ( f + g ) ' = f ' + g ' y = 2 t 3 + 3 t 2 y ' = d d t ( 2 t 3 ) + d d t ( 3 t 2 ) = 6 t 2 + 6 t For critical point y ' = 0 . 6 t 2 + 6 t = 0 ⇒ 6 t ( t + 1 ) = 0 ⇒ 6 t = 0 and t + 1 = 0 ⇒ 6 6 t = 0 6 and t + 1 − 1 = 0 − 1

ACHIEVE FOR CALCULUS 1 TERM >CSI CUSTOM<

4th Edition

ISBN: 9781319411657

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 4.2, Problem 35E

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 34E

Chapter 4.2, Problem 36E

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Chapter 4 Solutions

ACHIEVE FOR CALCULUS 1 TERM >CSI CUSTOM<

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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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