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Mathematics
Problem
If
e
y
(
x
+
1
)
=
1
e^y(x+1) = 1
e
y
(
x
+
1
)
=
1
, prove that
d
2
y
d
x
2
=
(
d
y
d
x
)
2
\frac{d^2y}{dx^2} = \left(\frac{dy}{dx}\right)^2
d
x
2
d
2
y
=
(
d
x
d
y
)
2
.
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