A student has attempted to use logarithmic differentiation to find the derivative of y = %3(3x)V Unfortunately the steps and the explanations have been rearranged. Arrange the following in the correct order: Student calculations (out of order): A. 1 dy y dr a i In(3r) + vT 1 B. d = (31) (2E In(3r) C. In y= In((3z)) dy = Y In(3z) E. In y = VI In(3z) Explanations (out of order): I. Expand, by using properties of logarithms. II. Replace y by (3x)v because it was given in the question that y= (32)V 1II. Take the natural logarithm of both sides. IV. Simplify, and move y to the other side by multiplying. V. Differentiate both sides with respect to z
A student has attempted to use logarithmic differentiation to find the derivative of y = %3(3x)V Unfortunately the steps and the explanations have been rearranged. Arrange the following in the correct order: Student calculations (out of order): A. 1 dy y dr a i In(3r) + vT 1 B. d = (31) (2E In(3r) C. In y= In((3z)) dy = Y In(3z) E. In y = VI In(3z) Explanations (out of order): I. Expand, by using properties of logarithms. II. Replace y by (3x)v because it was given in the question that y= (32)V 1II. Take the natural logarithm of both sides. IV. Simplify, and move y to the other side by multiplying. V. Differentiate both sides with respect to z
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
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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