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Mathematics
Mathematics
Problem
Consider
g
(
x
)
=
sin
x
−
x
2
g(x)=\sin x-\dfrac{x}{2}
g
(
x
)
=
sin
x
−
2
x
on the interval
[
0
,
2
π
]
[0,2\pi]
[
0
,
2
π
]
. List all
x
x
x
-values in
[
0
,
2
π
]
[0,2\pi]
[
0
,
2
π
]
at which
g
g
g
has a local extremum, and indicate which of those correspond to the absolute maximum and absolute minimum of
g
g
g
on the interval.
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