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Byju's Answer
Standard XII
Mathematics
Derivative of One Function w.r.t Another
let f be a tw...
Question
let f be a twice differntiable function such that f(1)=1, f(2)=4 , and f(3)=9, then f''(x)=2 for all real values of x in (1,3) true/fa
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Similar questions
Q.
Let
f
(
x
)
be a twice differentiable function for all real values of
x
and satisfies
f
(
1
)
=
1
,
f
(
2
)
=
4
,
f
(
3
)
=
9
. Then which of the following is definitely true?
Q.
Let
f
be twice differentiable function satisfying
f
(
1
)
=
1
,
f
(
2
)
=
4
,
f
(
3
)
=
9
, then
Q.
Let
f
(
x
)
be a twice differentiable function for all real values of
x
and satisfies
f
(
1
)
=
1
,
f
(
2
)
=
4
,
f
(
3
)
=
9
. Then which of the following is definitely true?
Q.
Let
f
:
[
1
,
3
]
→
R
be a continuous function that is differentiable in
(
1
,
3
)
and
f
′
(
x
)
=
|
f
(
x
)
|
2
+
4
for all
x
∈
(
1
,
3
)
. Then,
Q.
Let
f
:
[
1
,
∞
)
→
[
2
,
∞
)
be a differentiable function such that
f
(
1
)
=
2
.
If
6
∫
x
1
f
(
t
)
d
t
=
3
x
f
(
x
)
−
x
3
for all
x
≥
1
, then the value of
f
(
2
)
is
:
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Standard XII Mathematics
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