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Byju's Answer
Standard XII
Mathematics
Global Maxima
One maximum p...
Question
One maximum point of the curve
y
=
x
e
−
x
is-
A
(
e
,
1
)
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B
(
1
,
e
)
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C
(
1
,
1
e
)
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D
(
1
e
,
1
)
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Solution
The correct option is
C
(
1
,
1
e
)
y
′
=
e
−
x
−
x
e
−
x
=
e
−
x
(
1
−
x
)
Now for critical point
y
′
=
0
Or
x
=
1
Hence
y
x
=
1
=
e
−
1
Hence
The maximum point is denoted by
(
1
,
e
−
1
)
.
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0
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