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Mathematics
Mathematics
Problem
For a differentiable function
f
f
f
defined on
[
−
2
,
2
]
[-2,2]
[
−
2
,
2
]
, selected values of its derivative are given:
x
:
−
2
−
1
0
1
2
f
′
(
x
)
:
−
1.0
−
0.4
0.2
0.5
−
0.1
\begin{aligned} x &: -2 & -1 & 0 & 1 & 2 \\ f'(x) &: -1.0 & -0.4 & 0.2 & 0.5 & -0.1 \end{aligned}
x
f
′
(
x
)
:
−
2
:
−
1.0
−
1
−
0.4
0
0.2
1
0.5
2
−
0.1
Estimate the
x
x
x
–coordinate of the global maximum of
f
f
f
on
[
−
2
,
2
]
[-2,2]
[
−
2
,
2
]
, and state your reasoning in one sentence.
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