Twice Differentiable Function Properties (Jee M… | ExamDuo
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Application of Derivates
Medium
Twice Differentiable Function Properties
Let
f
:
[
0
,
2
]
→
R
be a twice differentiable function such that
f
’
’
(
x
)
>
0
, for all
x
∈
(
0
,
2
)
.
If
ϕ
(
x
)
=
f
(
x
)
+
f
(
2
−
x
)
, then ϕ is:
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SELECT ONE OPTION
A
Increasing on (0, 1) and decreasing on (1, 2)
B
Decreasing on (0, 1) and increasing on (1, 2)
C
Decreasing on (0, 2)
D
Increasing on (0, 2)
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