Explanation Given: The given function is, y = 3 x + 5 ( 2 x − 3 ) 4 Calculation: Take natural logarithm on both the sides gives, ln y = 1 2 ln ( 3 x + 5 ) + 4 ln ( 2 x − 3 ) Differentiate on both sides of above equation with respect to x , d d x [ ln y ] = d d x [ 1 2 ln ( 3 x + 5 ) + 4 ln ( 2 x − 3 ) ] [ ∵ ln ( m ⋅ n ) = ln m + ln n ] 1 y ⋅ d y d x = d d x [ 1 2 ln ( 3 x + 5 ) + 4 ln ( 2 x − 3 ) ] [ ∵ ln ( m ) n = n ln m ] = 1 × 3 2 ( 3 x + 5 ) + 8 2 x − 3 <

Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)

10th Edition

ISBN: 9781305657861

Author: Soo T. Tan

Publisher: Cengage Learning

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Chapter 5.5, Problem 44E

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To evaluate: The derivative of the given function.

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Chapter 5.5, Problem 43E

Chapter 5.5, Problem 45E

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Chapter 5 Solutions

Applied Calculus for the Managerial, Life, and Social Sciences (MindTap Course List)

Ch. 5.1 - Prob. 1CQ Ch. 5.1 - Prob. 2CQ Ch. 5.1 - Prob. 1E Ch. 5.1 - Prob. 2E Ch. 5.1 - Prob. 3E Ch. 5.1 - Prob. 4E Ch. 5.1 - Prob. 5E Ch. 5.1 - Prob. 6E Ch. 5.1 - Prob. 7E Ch. 5.1 - Prob. 8E

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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 - Prob. 73E Ch. 5.5 - Prob. 74E Ch. 5.5 - Prob. 75E Ch. 5.5 - Prob. 76E Ch. 5.5 - Prob. 77E Ch. 5.5 - Prob. 78E Ch. 5.5 - Prob. 79E Ch. 5.5 - Prob. 80E Ch. 5.5 - Prob. 81E Ch. 5.5 - Prob. 82E Ch. 5.5 - Prob. 83E Ch. 5.5 - Prob. 84E Ch. 5.5 - Prob. 85E Ch. 5.5 - Prob. 86E Ch. 5.5 - Prob. 87E Ch. 5.5 - Prob. 88E Ch. 5.5 - Prob. 89E Ch. 5.5 - Prob. 90E Ch. 5.5 - Prob. 91E Ch. 5.5 - Prob. 92E Ch. 5.5 - Prob. 93E Ch. 5.5 - Prob. 94E Ch. 5.5 - Prob. 95E Ch. 5.5 - Prob. 96E Ch. 5.5 - Prob. 97E Ch. 5.5 - Prob. 98E Ch. 5.5 - Prob. 99E Ch. 5.5 - Prob. 100E Ch. 5.6 - Prob. 1CQ Ch. 5.6 - Prob. 2CQ Ch. 5.6 - Prob. 3CQ Ch. 5.6 - Prob. 1E Ch. 5.6 - Prob. 2E Ch. 5.6 - Prob. 3E Ch. 5.6 - Prob. 4E Ch. 5.6 - Prob. 5E Ch. 5.6 - RESALE VALUE Garland Mills purchased a certain...Ch. 5.6 - Prob. 7E Ch. 5.6 - Prob. 8E Ch. 5.6 - Prob. 9E Ch. 5.6 - Prob. 10E Ch. 5.6 - Prob. 11E Ch. 5.6 - Prob. 12E Ch. 5.6 - Prob. 13E Ch. 5.6 - Prob. 14E Ch. 5.6 - Prob. 15E Ch. 5.6 - LEARNING CURVES The American Court Reporting...Ch. 5.6 - Prob. 17E Ch. 5.6 - Prob. 18E Ch. 5.6 - DEMAND FOR COMPUTERS Universal Instruments found...Ch. 5.6 - Prob. 20E Ch. 5.6 - Prob. 21E Ch. 5.6 - Prob. 22E Ch. 5.6 - GROWTH OF A FRUIT FLY POPULATION On the basis of...Ch. 5.6 - Prob. 24E Ch. 5.6 - Prob. 25E Ch. 5.6 - Prob. 26E Ch. 5.6 - Prob. 27E Ch. 5.6 - Prob. 28E Ch. 5.6 - Prob. 29E Ch. 5.6 - Prob. 30E Ch. 5.6 - Prob. 31E Ch. 5.6 - Prob. 32E Ch. 5.6 - Prob. 33E Ch. 5.6 - Prob. 34E Ch. 5.6 - Prob. 35E Ch. 5.6 - Prob. 36E Ch. 5.6 - Prob. 37E Ch. 5.6 - Prob. 38E Ch. 5.6 - Prob. 1TE Ch. 5.6 - Prob. 2TE Ch. 5.6 - Prob. 3TE Ch. 5.6 - Prob. 4TE Ch. 5.6 - Prob. 5TE Ch. 5.6 - Prob. 6TE Ch. 5.6 - Prob. 7TE Ch. 5.6 - Prob. 8TE Ch. 5 - Prob. 1CRQ Ch. 5 - Prob. 2CRQ Ch. 5 - Prob. 3CRQ Ch. 5 - Prob. 4CRQ Ch. 5 - Prob. 5CRQ Ch. 5 - Prob. 6CRQ Ch. 5 - Prob. 7CRQ Ch. 5 - Prob. 8CRQ Ch. 5 - Prob. 9CRQ Ch. 5 - Prob. 10CRQ Ch. 5 - Prob. 1RE Ch. 5 - Prob. 2RE Ch. 5 - Prob. 3RE Ch. 5 - Prob. 4RE Ch. 5 - Prob. 5RE Ch. 5 - Prob. 6RE Ch. 5 - Prob. 7RE Ch. 5 - Prob. 8RE Ch. 5 - 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The derivative of the given function.

Solution Summary: The author evaluates the derivative of the given function by taking natural logarithm on both the sides.

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Chapter 5 Solutions