Explain for which values of a the function a* is increasing and for which values it is decreasing. Use the fact that, for a > 0, (а*) %3D (In a) a'. dx 'We are interested in when the derivative 2 is positive and when it is negative. The quantity a* is always positive. However, In a > 0 for a > 1 and In a < 0 for 0 < a < 1.Thus, the function a* is increasing for a > I and decreasing dx for a < 1. We are interested in when the derivative 2 is positive and when it is negative. The quantity a* is always positive. However, In a > 0 for a > e and In a < 0 for 0 < a < e. Thus, the function a* is increasing for a > e and decreasing for a < e. d(a") We are interested in when the derivative dx is positive and when it is negative. The quantity In a is always positive. However, a > O for a > 1 and a < 0 for 0 < a < 1. Thus, the function a" is increasing for a > I and decreasing for a < 1. d(a*) dx We are interested in when the derivative However, a > 0 for a > e and a < 0 for 0 < a < e. Thus, the function a* is increasing for a > e and decreasing for a < e. is positive and when it is negative. The quantity In a is always positive.

Explain for which values of a the function a* is increasing and for which values it is decreasing. Use the fact that, for a > 0, (а) %3D (In a) a'. dx 'We are interested in when the derivative 2 is positive and when it is negative. The quantity a is always positive. However, In a > 0 for a > 1 and In a < 0 for 0 < a < 1.Thus, the function a* is increasing for a > I and decreasing dx for a < 1. We are interested in when the derivative 2 is positive and when it is negative. The quantity a* is always positive. However, In a > 0 for a > e and In a < 0 for 0 < a < e. Thus, the function a* is increasing for a > e and decreasing for a < e. d(a") We are interested in when the derivative dx is positive and when it is negative. The quantity In a is always positive. However, a > O for a > 1 and a < 0 for 0 < a < 1. Thus, the function a" is increasing for a > I and decreasing for a < 1. d(a) dx We are interested in when the derivative However, a > 0 for a > e and a < 0 for 0 < a < e. Thus, the function a is increasing for a > e and decreasing for a < e. is positive and when it is negative. The quantity In a is always positive.

Name: Explain for which values of a the function a* is increasing and for w
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Description: Explain for which values of a the function a* is increasing and for which values it is decreasing. Use the fact that, for a > 0,(а*) %3D (In a) a'.dx'We are interested in when the derivative 2 is positive and when it is negative. The quantity a* is

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

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