Explanation Given : s ( x ) = ln x x on [ 1 , 3 ] The given function, s ( x ) = ln x x Now find derivative of s ( x ) s ' ( x ) = 1 − ln x 2 x 2 For critical point, s ' ( x ) = 0 1 − ln x 2 x 2 = 0 x = e Critical points, x = e Now check double derivative for maximum and minimum

6th Edition

ISBN: 9781465208880

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 4.1, Problem 10PS

To determine

To find: The critical numbers of a function, s(x)=lnxx on [1,3] and yields a minimum, maximum or neither.

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Chapter 4.1, Problem 9PS

Chapter 4.1, Problem 11PS

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Chapter 4 Solutions

Calculus

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The critical numbers of a function, s ( x ) = ln x x on [ 1 , 3 ] and yields a minimum, maximum or neither.

Solution Summary: The author explains how to find the critical numbers of a function: s(x)=mathrmlnsqrtx

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To find: The critical numbers of a function, s(x)=lnxx on [1,3] and yields a minimum, maximum or neither.

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Chapter 4 Solutions