Consider the following.Find g'(x).g'(x) =g(x)X ==XIn(x)In(x) - 1In²(x)Solve g'(x) = 0 for x. (Round your answer to the nearest hundredth.)Find g(e), g(2), and g(8). (Round your answers to the nearest hundredth.)g(e) =g(2) =g(8) =Find the absolute extrema of the function g(x) =Absolute minimum:at x =Absolute maximum:at x =Xon the interval [2, 8]. (Round your answers to the nearest hundredth.)In(x)

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Answered: Consider the following. g(x) = X In(x)

Math

Calculus

Consider the following. g(x) = X In(x)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 18T

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Question

Consider the following.
Find g'(x).
g'(x) =
g(x)
X =
=
X
In(x)
In(x) - 1
In²(x)
Solve g'(x) = 0 for x. (Round your answer to the nearest hundredth.)
Find g(e), g(2), and g(8). (Round your answers to the nearest hundredth.)
g(e) =
g(2) =
g(8) =
Find the absolute extrema of the function g(x) =
Absolute minimum:
at x =
Absolute maximum:
at x =
X
on the interval [2, 8]. (Round your answers to the nearest hundredth.)
In(x)

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