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JEE Main 6 Apr 2024 Shift 2 Solved Paper
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© examsnet.com
Question : 10
Total: 90
If the function
f
(
x
)
=
(
1
x
)
2
x
;
x
>
0
attains the maximum value at
x
=
1
e
then :
[6 Apr 2024 Shift 2]
e
π
<
π
e
e
2
π
<
(
2
π
)
e
e
π
>
π
e
(
2
e
)
π
>
π
(
2
e
)
Validate
Solution:
👈: Video Solution
Let
y
=
(
1
x
)
2
x
ℓ
ny
=
2
x
ℓ
n
(
1
x
)
ℓ
n
y
=
−
2
x
ℓ
n
x
1
y
d
y
d
x
=
−
2
(
1
+
ℓ
n
x
)
for
x
>
1
e
f
n
is decreasing
so,
e
<
π
(
1
e
)
2
e
>
(
1
π
)
2
π
e
π
>
π
e
© examsnet.com
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