Twice Differentiable Continuous Function Proper… | ExamDuo
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Higher Order Derivatives
Medium
Twice Differentiable Continuous Function Properties
Let f be any continuous function on
[
0
,
2
]
and twice differentiable on
(
0
,
2
)
. If
f
(
0
)
=
0
,
f
(
1
)
=
1
and
f
(
2
)
=
2
, then
Ask about this question
SELECT ONE OPTION
A
f
′
′
(
x
)
=
0
for all
x
∈
(
0
,
2
)
B
f
′
′
(
x
)
=
0
for some
x
∈
(
0
,
2
)
C
f
′
(
x
)
=
0
for some
x
∈
[
0
,
2
]
D
f
′
′
(
x
)
>
0
for all
x
∈
(
0
,
2
)
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