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Mathematics
Mathematics
Problem
Describe the behavior of a differentiable function
f
f
f
on an interval
I
I
I
if
f
′
(
x
)
>
0
f'(x)>0
f
′
(
x
)
>
0
and
f
′
′
(
x
)
<
0
f''(x)<0
f
′′
(
x
)
<
0
for every
x
∈
I
x\in I
x
∈
I
.
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