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Mathematics
Problem
For the curve
x
2
y
+
k
y
3
=
4
x^{2}y+k y^{3}=4
x
2
y
+
k
y
3
=
4
, where
k
k
k
is a constant, the slope of the tangent line at the point
(
1
,
1
)
(1,1)
(
1
,
1
)
is
−
1
-1
−
1
. Determine the value of
k
k
k
.
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