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Mathematics
Mathematics
Problem
Let a curve
y
=
f
(
x
)
y = f(x)
y
=
f
(
x
)
pass through the point
(
2
,
(
log
e
2
)
2
)
(2, (\log_e 2)^2)
(
2
,
(
lo
g
e
2
)
2
)
and have slope
2
y
x
log
e
x
\frac{2y}{x \log_e x}
x
l
o
g
e
x
2
y
for all positive real value of
x
x
x
. Then the value of
f
(
e
)
f(e)
f
(
e
)
is equal to ________. [JEE MAINS - ONLINE - 2021]
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