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Byju's Answer
Standard XIII
Mathematics
Condition for Monotonically Decreasing Function
fx = x/loge x...
Question
f
(
x
)
=
x
l
o
g
e
x
,
x
≠
1
, is decreasing in interval
A
(
0
,
e
)
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B
(
1
,
e
)
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C
(
e
,
∞
)
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D
R
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Solution
The correct option is
A
(
0
,
e
)
f'(x) =
l
o
g
e
x
.
1
−
x
.
1
x
(
l
o
g
e
x
)
2
=
(
l
o
g
e
x
−
1
)
(
l
o
g
e
x
)
2
<
0
It is decreasing at (0, e) – {1}
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