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Mathematics
Problem
Given the implicit relation
x
y
+
y
2
=
6
xy+y^{2}=6
x
y
+
y
2
=
6
, determine
d
2
y
d
x
2
\dfrac{d^{2}y}{dx^{2}}
d
x
2
d
2
y
at the point
(
2
,
2
)
(2,2)
(
2
,
2
)
. a)
1
27
\dfrac{1}{27}
27
1
b)
2
27
\dfrac{2}{27}
27
2
c)
−
2
27
-\dfrac{2}{27}
−
27
2
d)
1
18
\dfrac{1}{18}
18
1
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