Explanation Given information: The logarithmic differentiations are, f ( x ) = x e x sin x and f ( x ) = x x . Concept used: The concept of the logarithm differentiation is used. The range of sin x is form − 1 ≤ sin x ≤ 1 . Since, range of sin x is form − 1 ≤ sin x ≤ 1 hence the absolute values are required during the application of logarithmic differentiation to f ( x ) = x e x sin x

14th Edition

ISBN: 9781464140051

Author: TAALMAN, Laura, Kohn, Peter

Publisher: W. H. Freeman

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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Question

Chapter 2.5, Problem 16C

To determine

To find: The description for considering the absolute values for logarithmic differentiation f(x)=xexsinx and not considering the absolute values for logarithmic differentiation f(x)=xx .

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Chapter 2.5, Problem 15C

Chapter 2.5, Problem 17S

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Chapter 2 Solutions

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The description for considering the absolute values for logarithmic differentiation f ( x ) = x e x sin x and not considering the absolute values for logarithmic differentiation f ( x ) = x x .

Solution Summary: The author explains the concept of the logarithm differentiation. The range of mathrmsinx is form

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To find: The description for considering the absolute values for logarithmic differentiation f(x)=xexsinx and not considering the absolute values for logarithmic differentiation f(x)=xx .

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Chapter 2 Solutions