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Engineering Mathematics
Absolute Maxima and Absolute Minima
The minimum v...
Question
The minimum value of funciton
y
=
x
2
in the interval
[
1
,
5
]
A
0
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B
1
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C
25
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D
undefined
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Solution
The correct option is
B
1
Given,
y
=
x
2
d
y
d
x
=
2
x
>
0
,
∀
x
ϵ
[
1
,
5
]
y
is increasing in the interval
[
1
,
5
]
∴
y
m
i
n
=
(
1
)
2
=
1
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0
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