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Mathematics
Mathematics
Problem
Let
f
:
(
−
1
,
1
)
→
R
f: (-1, 1) \rightarrow R
f
:
(
−
1
,
1
)
→
R
be a function defined by
f
(
x
)
=
max
{
−
∣
x
∣
,
−
1
−
x
2
}
f(x) = \max\{-|x|, -\sqrt{1-x^2}\}
f
(
x
)
=
max
{
−
∣
x
∣
,
−
1
−
x
2
}
. If
K
K
K
be the set of all points at which
f
f
f
is not differentiable, then
K
K
K
has exactly: (a) five elements (b) one element (c) three elements (d) two elements
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