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Problem
Problem
Statement I
f
(
x
)
=
x
+
cos
x
f(x) = x + \cos x
f
(
x
)
=
x
+
cos
x
is strictly increasing.
Statement II
If
f
(
x
)
f(x)
f
(
x
)
is strictly increasing, then
f
′
(
x
)
f'(x)
f
′
(
x
)
may tend to zero at some finite number of points.
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