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Mathematics
Mathematics
Problem
Let a function
y
=
f
(
x
)
y=f(x)
y
=
f
(
x
)
is defined by
y
=
e
m
t
ln
t
y=e^{m\sqrt{t}}\ln t
y
=
e
m
t
ln
t
and
x
=
e
t
ln
t
x=e^t\ln t
x
=
e
t
ln
t
, where
t
t
t
is a positive real parameter such that
f
′
(
0
)
=
e
f'(0)=e
f
′
(
0
)
=
e
, then value of
m
m
m
is
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