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Mathematics
Mathematics
Problem
The points on a curve satisfy
x
ln
y
+
y
ln
x
=
ln
16
x\ln y + y\ln x = \ln 16
x
ln
y
+
y
ln
x
=
ln
16
with
x
>
0
x>0
x
>
0
and
y
>
0
y>0
y
>
0
. Find
d
y
d
x
\dfrac{dy}{dx}
d
x
d
y
at the point
(
2
,
2
)
(2,2)
(
2
,
2
)
.
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