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Mathematics
Mathematics
Problem
If
x
=
a
(
t
+
1
t
)
x = a \left( t + \frac{1}{t} \right)
x
=
a
(
t
+
t
1
)
and
y
=
a
(
t
−
1
t
)
y = a \left( t - \frac{1}{t} \right)
y
=
a
(
t
−
t
1
)
, then prove that
d
y
d
x
=
x
\frac{dy}{dx} = x
d
x
d
y
=
x
.
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