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JEE Advanced 2017 Paper 2 Mathematics Q4
Mathematics
Problem
If
f
:
R
→
R
f:\mathbb R\to\mathbb R
f
:
R
→
R
is a twice differentiable function such that
f
′
′
(
x
)
>
0
f''(x)>0
f
′′
(
x
)
>
0
for all
x
∈
R
x\in\mathbb R
x
∈
R
, and
f
(
1
/
2
)
=
1
/
2
f(1/2)=1/2
f
(
1/2
)
=
1/2
,
f
(
1
)
=
1
f(1)=1
f
(
1
)
=
1
, then
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