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Mathematics
Mathematics
Problem
13. Let
f
f
f
be a function defined on
[
a
,
b
]
[a, b]
[
a
,
b
]
such that
f
′
(
x
)
>
0
f^{\prime}(x)>0
f
′
(
x
)
>
0
, for all
x
∈
(
a
,
b
)
x \in(a, b)
x
∈
(
a
,
b
)
. Then prove that
f
f
f
is an increasing function on
(
a
,
b
)
(a, b)
(
a
,
b
)
.
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