A student has attempted to use logarithmic differentiation to find the derivative of y = (3x)V . Unfortunately the steps and the explanations have been rearranged. Arrange the following in the correct order: Student calculations (out of order): 글 In(3z) + vE .습3 dz dy В. B. – Im(3rz) (3r)vª (- C. In y = In(3=)") D. In(32) + ) E. In y = Va · In(3z) Explanations (out of order): I. Expand, by using properties of logarithms. II. Replace y by (3z)V because it was given in the question that y = (3z)v² . I. 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 . The correct order of the solution is: Step 1: Calculation I Select ) |and explanation ( Select ] Step 2: Calculation I Select ) and explanation 1 Select ) Step 3: Calculation I Select | and explanation ( Select ] Step 4: Calculation I Select ) and explanation | Select ) Step 5: Calculation I Select ) and explanation ( Select ] Now look at the complete solution in the correct order. Is the solution correct? | Select If it is incorrect, in which step does the first error occur? I Sclect)
A student has attempted to use logarithmic differentiation to find the derivative of y = (3x)V . Unfortunately the steps and the explanations have been rearranged. Arrange the following in the correct order: Student calculations (out of order): 글 In(3z) + vE .습3 dz dy В. B. – Im(3rz) (3r)vª (- C. In y = In(3=)") D. In(32) + ) E. In y = Va · In(3z) Explanations (out of order): I. Expand, by using properties of logarithms. II. Replace y by (3z)V because it was given in the question that y = (3z)v² . I. 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 . The correct order of the solution is: Step 1: Calculation I Select ) |and explanation ( Select ] Step 2: Calculation I Select ) and explanation 1 Select ) Step 3: Calculation I Select | and explanation ( Select ] Step 4: Calculation I Select ) and explanation | Select ) Step 5: Calculation I Select ) and explanation ( Select ] Now look at the complete solution in the correct order. Is the solution correct? | Select If it is incorrect, in which step does the first error occur? I Sclect)
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![A student has attempted to use logarithmic differentiation to find the derivative of y = (3z)v².
Unfortunately the steps and the explanations have been rearranged. Arrange the following in the correct order:
Student calculations (out of order):
A. 금-1-i In(3x) + VE•굶
B. - (32)v ( +)
· In (32)v=)
D-v( + 눈)
´In(3z)
В.
dz
%3D
C. In y
In(3z)
E. In y = VT - In(3z)
(수+
Explanations (out of order):
I. Expand, by using properties of logarithms.
II. Replace y by (3z) VE because it was given in the question that y = (3z)V.
III. 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.
The correct order of the solution is:
Step 1: Calculation I Select
and explanation I Select )
Step 2: Calculation I Select ]
v and explanation I Select )
Step 3: Calculation (Select J
and explanation I Select )
Step 4: Calculation I Select ]
and explanation ( Select ]
Step 5: Calculation I Select ]
and explanation [ Select ]
Now look at the complete solution in the correct order. Is the solution correct? I Select )
If it is incorrect, in which step does the first error occur?
Select J
>
>](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F84a55184-59cb-4c2c-8e9a-b4f3831e5579%2F272a2e73-9ec3-4f98-8d7f-1dfeec900ecb%2Fdeswe2p_processed.png&w=3840&q=75)
Transcribed Image Text:A student has attempted to use logarithmic differentiation to find the derivative of y = (3z)v².
Unfortunately the steps and the explanations have been rearranged. Arrange the following in the correct order:
Student calculations (out of order):
A. 금-1-i In(3x) + VE•굶
B. - (32)v ( +)
· In (32)v=)
D-v( + 눈)
´In(3z)
В.
dz
%3D
C. In y
In(3z)
E. In y = VT - In(3z)
(수+
Explanations (out of order):
I. Expand, by using properties of logarithms.
II. Replace y by (3z) VE because it was given in the question that y = (3z)V.
III. 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.
The correct order of the solution is:
Step 1: Calculation I Select
and explanation I Select )
Step 2: Calculation I Select ]
v and explanation I Select )
Step 3: Calculation (Select J
and explanation I Select )
Step 4: Calculation I Select ]
and explanation ( Select ]
Step 5: Calculation I Select ]
and explanation [ Select ]
Now look at the complete solution in the correct order. Is the solution correct? I Select )
If it is incorrect, in which step does the first error occur?
Select J
>
>
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