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 − 4 + 4 = 0 + 4

4th Edition

ISBN: 9781319279813

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 4.2, Problem 34E

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 33E

Chapter 4.2, Problem 35E

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9. a) Determie values of a and b so that the function is continuous. ax - 2b f(x) 2 x≤-2 -2x+a, x ≥2 \-ax² - bx + 1, −2 < x < 2) 9b) Consider f(x): = 2x²+x-3 x-b and determine all the values of b such that f(x) does not have a vertical asymptote. Show work.

Chapter 4 Solutions

CALCULUS:EARLY TRANS.-SAPLINGPLUS

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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