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Mathematics
Mathematics
Problem
If
x
1
+
y
+
y
1
+
x
=
0
x\sqrt{1+y} + y\sqrt{1+x} = 0
x
1
+
y
+
y
1
+
x
=
0
, prove that
d
y
d
x
=
−
1
(
1
+
x
)
2
\frac{dy}{dx} = \frac{-1}{(1+x)^2}
d
x
d
y
=
(
1
+
x
)
2
−
1
.
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