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KEAM 2022 Math Solved Paper
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© examsnet.com
Question : 28
Total: 120
The function
f
(
x
)
=
x
5
e
−
x
is increasing in the interval
(
5
,
∞
)
(
4
,
∞
)
(
−
4
,
∞
)
(
−
∞
,
5
)
(
−
5
,
∞
)
Validate
Solution:
f
′
(
x
)
=
5
x
4
e
−
x
x
5
e
−
x
=
e
−
x
x
4
(
5
−
x
)
(
−
∞
,
5
)
© examsnet.com
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