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Mathematics
Mathematics
Problem
On the interval
[
−
π
,
π
]
[-\pi,\pi]
[
−
π
,
π
]
, let
f
′
(
x
)
=
sin
x
cos
x
f'(x)=\sin x\,\cos x
f
′
(
x
)
=
sin
x
cos
x
. How many points of inflection does the graph of
f
f
f
have on this closed interval? a)
5
5
5
b)
4
4
4
c)
2
2
2
d)
3
3
3
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