Consider the following. Find g'(x). g'(x) = g(x): = In(x) - 1 In(x)² X In(x) Solve g '(x) = 0 for x. (Round your answer to the nearest hundredth.) X = 2.72 Excellent job! Find g(e), g(2), and g(3). (Round your answers to the nearest hundredth.) g(e) = 2.72 That's great! Good job. g(2) = 2.89 g(3) Absolute minimum: 2.72 Enter a number. Find the absolute extrema of the function g(x) = Outstanding! ✔ Absolute maximum: at x = 2.72 at x = 2 Le on the interval [2, 3]. (Round your answers to the nearest hundredth.) In(x) Well done. Good jobl

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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Consider the following.
Find g'(x).
g'(x) =
=
Solve g'(x)
X = 2.72
X
g(x) = n(x)
In(x) 1
In(x)²
2.72
=
0 for x. (Round your answer to the nearest hundredth.)
Excellent job!
Find g(e), g(2), and g(3). (Round your answers to the nearest hundredth.)
g(e) = 2.72
That's great!
Good job.
g(2) 2.89
g(3)
Enter a number.
Find the absolute extrema of the function g(x)
Absolute minimum:
Outstanding!
at x = 2.72
Absolute maximum:
at x = 2
=
X
on the interval [2, 3]. (Round your answers to the nearest hundredth.)
In(x)
Well done.
Good job!
Transcribed Image Text:Consider the following. Find g'(x). g'(x) = = Solve g'(x) X = 2.72 X g(x) = n(x) In(x) 1 In(x)² 2.72 = 0 for x. (Round your answer to the nearest hundredth.) Excellent job! Find g(e), g(2), and g(3). (Round your answers to the nearest hundredth.) g(e) = 2.72 That's great! Good job. g(2) 2.89 g(3) Enter a number. Find the absolute extrema of the function g(x) Absolute minimum: Outstanding! at x = 2.72 Absolute maximum: at x = 2 = X on the interval [2, 3]. (Round your answers to the nearest hundredth.) In(x) Well done. Good job!
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