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Mathematics
Problem
For the curve defined by
x
2
+
y
2
=
e
x
y
x^{2}+y^{2}=e^{xy}
x
2
+
y
2
=
e
x
y
, find
d
y
d
x
\dfrac{dy}{dx}
d
x
d
y
at the point
(
0
,
1
)
(0,1)
(
0
,
1
)
. a)
0
0
0
b)
1
2
\dfrac{1}{2}
2
1
c)
1
1
1
d)
−
1
2
-\dfrac{1}{2}
−
2
1
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