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

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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):
A 1 dy
y dr
a i In(3r) + VT -
3x
B. = (32) (nde)
C. Iny= In((32)v)
In(3z)
= y
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=
(3x)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 a.
Transcribed Image Text: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): A 1 dy y dr a i In(3r) + VT - 3x B. = (32) (nde) C. Iny= In((32)v) In(3z) = y 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= (3x)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 a.
V. Differentiate both sides with respect to x .
The correct order of the solution is:
Step 1: Calculation [Select ]
M and explanation [Select ]
Step 2: Calculation [Select ]
v and explanation
[ Select ]
Step 3: Calculation [Select ]
V and explanation [Select ]
Step 4: Calculation [Select ]
▼ and explanation [Select ]
Step 5: Calculation
[ 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 fırst error occur?
[ Select ]
Transcribed Image Text:V. Differentiate both sides with respect to x . The correct order of the solution is: Step 1: Calculation [Select ] M and explanation [Select ] Step 2: Calculation [Select ] v and explanation [ Select ] Step 3: Calculation [Select ] V and explanation [Select ] Step 4: Calculation [Select ] ▼ and explanation [Select ] Step 5: Calculation [ 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 fırst error occur? [ Select ]
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