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Mathematics
Problem
Explain why a differentiable function
f
f
f
satisfying
f
′
(
x
)
>
0
f'(x)>0
f
′
(
x
)
>
0
for
x
<
2
x<2
x
<
2
and
f
′
(
x
)
<
0
f'(x)<0
f
′
(
x
)
<
0
for
x
>
2
x>2
x
>
2
can have at most one local extremum.
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