Explanation Given: The given function is y = x 2 + 1 x − 4 . Calculation: Given:the given interval is [ 5 , 6 ] . Use quotient rule . ( f g ) ' = f ' ⋅ g − g ' ⋅ f g 2 y = x 2 + 1 x − 4 y ' = d d x ( x 2 + 1 ) ⋅ ( x − 4 ) − d d x ( x − 4 ) ⋅ ( x 2 + 1 ) ( x − 4 ) 2 y ' = 2 x ( x − 4 ) − ( x 2 + 1 ) ( x − 4 ) 2 y ' = 2 x 2 − 8 x − x 2 − 1 ( x − 4 ) 2 y ' = x 2 − 8 x − 1 ( x − 4 ) 2 For critical point y ' = 0

4th Edition

ISBN: 9781319279813

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 4.2, Problem 39E

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 38E

Chapter 4.2, Problem 40E

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Let the region R be the area enclosed by the function f(x)= = 3x² and g(x) = 4x. If the region R is the base of a solid such that each cross section perpendicular to the x-axis is an isosceles right triangle with a leg in the region R, find the volume of the solid. You may use a calculator and round to the nearest thousandth. y 11 10 9 00 8 7 9 5 4 3 2 1 -1 -1 x 1 2

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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