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Mathematics
Problem
Consider the curve given implicitly by
ln
(
y
)
+
x
y
=
1
\ln(y)+xy=1
ln
(
y
)
+
x
y
=
1
. Determine the slope of the tangent line at the point
(
0
,
1
)
(0,1)
(
0
,
1
)
. a)
1
1
1
b)
−
1
2
-\dfrac{1}{2}
−
2
1
c)
−
1
-1
−
1
d)
0
0
0
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