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Mathematics
Mathematics
Problem
For
f
(
x
)
=
x
cot
x
f(x)=x\cot x
f
(
x
)
=
x
cot
x
, describe whether
f
′
(
x
)
f'(x)
f
′
(
x
)
is positive, negative, or zero for
x
x
x
in the interval
(
0
,
π
/
2
)
(0,\pi/2)
(
0
,
π
/2
)
, and briefly justify your answer.
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