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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
{
x
2
,
x
≤
1
3
x
−
2
,
x
>
1
f(x)=\begin{cases} x^{2}, & x\le 1\\ 3x-2, & x>1 \end{cases}
f
(
x
)
=
{
x
2
,
3
x
−
2
,
x
≤
1
x
>
1
. The derivative of
f
f
f
fails to exist at a) no point b) infinitely many points c) exactly one point d) exactly two points
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