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Problem
Problem
-
f
(
x
)
=
min
{
1
,
cos
x
,
1
−
sin
x
}
f(x) = \min \{1, \cos x, 1 - \sin x\}
f
(
x
)
=
min
{
1
,
cos
x
,
1
−
sin
x
}
,
−
π
≤
x
≤
π
-\pi \le x \le \pi
−
π
≤
x
≤
π
, then a.
f
(
x
)
f(x)
f
(
x
)
is differentiable at
0
0
0
b.
f
(
x
)
f(x)
f
(
x
)
is differentiable at
π
2
\frac{\pi}{2}
2
π
c.
f
(
x
)
f(x)
f
(
x
)
has local maxima at
0
0
0
d. None of the above
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