Provide an appropriate response.Given that (x - 3)2 + y2 = 9, find 
two ways: (1) by solving for y and differentiating the resulting functions with respect to x and (2) by implicit differentiation. Show that the results are the same.
What will be an ideal response?
(1) (x - 3)2 + y2 = 9
y2 = 9 - (x - 3)2 = 9 - (x2 - 6x + 9) = -x2 + 6x
y = ±
= ± 
(2) 2(x - 3) + 2y
= 0
2y
= -2(x - 3) = 2(3 - x)
= 
Substituting y = ±
yields 
= ± 
.
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?
?
Factor it.
?
?
A. 
B. 
C. 
D. 
E. 