Justine and Ashley are partners in solving problems involving derivatives. They agreed to solve the problem on their own first and compare it later. Here are their solutions. A. Find dx/dy of y = (3x + 2)3 Justine Ashley y = (3x + 2)3 y = (3x + 2)3 3(3x + 2)3 - 1 3(3x + 2)3-1d(3x + 2) %3D %3D dx dx 3(3x + 2)2 3(3x + 2)2(3) %3D %3D dx dx 3(9x² + 12x + 4) = 9(9x² + 12x + 4) %3D dx dx 27x2 + 36x + 12 = 81x2 + 108x + 36 dx %3D dx Which of the following solution is correct? Why?

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Justine and Ashley are partners in solving problems involving derivatives. They agreed
to solve the problem on their own first and compare it later. Here are their solutions.
A. Find dx/ dy of y = (3x + 2)3
Justine
Ashley
y =
(3x + 2)3
y = (3x + 2)3
d
d
3(3x + 2)3 - 1
3(3x + 2)3-1d(3x + 2)
%3D
dx
dx
d
d
3(3x + 2)2
3(3x + 2)2(3)
%3D
dr
dx
d
3(9x2 + 12x + 4)
9(9x2 + 12x + 4)
%3D
%3D
dx
dx
d
d
= 27x2 + 36x + 12
81x2 + 108x + 36
%3D
dx
dx
Which of the following solution is correct? Why?
Transcribed Image Text:Justine and Ashley are partners in solving problems involving derivatives. They agreed to solve the problem on their own first and compare it later. Here are their solutions. A. Find dx/ dy of y = (3x + 2)3 Justine Ashley y = (3x + 2)3 y = (3x + 2)3 d d 3(3x + 2)3 - 1 3(3x + 2)3-1d(3x + 2) %3D dx dx d d 3(3x + 2)2 3(3x + 2)2(3) %3D dr dx d 3(9x2 + 12x + 4) 9(9x2 + 12x + 4) %3D %3D dx dx d d = 27x2 + 36x + 12 81x2 + 108x + 36 %3D dx dx Which of the following solution is correct? Why?
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