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Mathematics
Mathematics
Problem
If
x
=
e
cos
2
t
x = e^{\cos 2t}
x
=
e
c
o
s
2
t
and
y
=
e
sin
2
t
y = e^{\sin 2t}
y
=
e
s
i
n
2
t
, then prove that
d
y
d
x
=
−
y
log
x
x
log
y
\frac{dy}{dx} = -\frac{y \log x}{x \log y}
d
x
d
y
=
−
x
l
o
g
y
y
l
o
g
x
.
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