Function Analysis with Minimum Value (Jee Mains) | ExamDuo
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Application of Derivates
Medium
Function Analysis with Minimum Value
Consider the function
f
:
(
0
,
2
)
→
R
defined by
f
(
x
)
=
x
2
+
2
x
and the function
g
(
x
)
defined by
g
(
x
)
=
{
min
{
f
(
t
)
}
0
<
t
≤
x
and
0
<
x
≤
1
3
2
+
x
1
<
x
<
2
.
. Then
Ask about this question
SELECT ONE OPTION
A
g
is continuous and differentiable for all
x
∈
(
0
,
2
)
B
g
is continuous but not differentiable at
x
=
1
C
g
is not continuous for all
x
∈
(
0
,
2
)
D
g
is neither continuous nor differentiable at
x
=
1
Check