Explanation Given: The given function is, f ( x ) = 2 ln x x Formula used: The quotient rule for the derivative of the function h ( x ) = f ( x ) g ( x ) , where g ( x ) ≠ 0 is, d d x ( h ( x ) ) = d d x ( f ( x ) g ( x ) ) = g ( x ) d d x ( f ( x ) ) − f ( x ) d d x ( g ( x ) ) ( g ( x ) ) 2 Calculation: The given function is, f ( x ) = 2 ln x x (1) Use quotient rule to differentiate both side of the equation (1) with respect to x , d d x f ( x ) = d d x ( 2 ln x x ) = x d d x ( 2 ln x ) − ( 2 ln x ) d d x ( x ) x 2

Applied Calculus for the Managerial, Life, and Social Sciences

10th Edition

ISBN: 9781305887831

Author: Tan

Publisher: CENGAGE CO

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Chapter 5.5, Problem 17E

To determine

To find: The derivative of the function.

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Chapter 5.5, Problem 16E

Chapter 5.5, Problem 18E

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Chapter 5 Solutions

Applied Calculus for the Managerial, Life, and Social Sciences

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Prob. 24E Ch. 5.5 - Prob. 25E Ch. 5.5 - Prob. 26E Ch. 5.5 - Prob. 27E Ch. 5.5 - find the derivative of the function. 28...Ch. 5.5 - Prob. 29E Ch. 5.5 - Prob. 30E Ch. 5.5 - Prob. 31E Ch. 5.5 - Prob. 32E Ch. 5.5 - Prob. 33E Ch. 5.5 - Prob. 34E Ch. 5.5 - Prob. 35E Ch. 5.5 - Prob. 36E Ch. 5.5 - Prob. 37E Ch. 5.5 - Prob. 38E Ch. 5.5 - Prob. 39E Ch. 5.5 - Prob. 40E Ch. 5.5 - Prob. 41E Ch. 5.5 - Prob. 42E Ch. 5.5 - Prob. 43E Ch. 5.5 - Prob. 44E Ch. 5.5 - Prob. 45E Ch. 5.5 - Prob. 46E Ch. 5.5 - Prob. 47E Ch. 5.5 - Prob. 48E Ch. 5.5 - Prob. 49E Ch. 5.5 - Prob. 50E Ch. 5.5 - Prob. 51E Ch. 5.5 - Prob. 52E Ch. 5.5 - Prob. 53E Ch. 5.5 - Prob. 54E Ch. 5.5 - Prob. 55E Ch. 5.5 - Prob. 56E Ch. 5.5 - Prob. 57E Ch. 5.5 - Prob. 58E Ch. 5.5 - Prob. 59E Ch. 5.5 - Prob. 60E Ch. 5.5 - Prob. 61E Ch. 5.5 - Prob. 62E Ch. 5.5 - Prob. 63E Ch. 5.5 - Prob. 64E Ch. 5.5 - Prob. 65E Ch. 5.5 - Prob. 66E Ch. 5.5 - Prob. 67E Ch. 5.5 - Prob. 68E Ch. 5.5 - Prob. 69E Ch. 5.5 - Prob. 70E Ch. 5.5 - Prob. 71E Ch. 5.5 - Prob. 72E Ch. 5.5 - 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The derivative of the function.

Solution Summary: The author explains the quotient rule for the derivative of the function f(x)=2mathrm

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Chapter 5 Solutions