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Mathematics
Mathematics
Problem
Let
g
(
x
)
=
∣
x
∣
x
g(x)=|x|\,x
g
(
x
)
=
∣
x
∣
x
. Determine whether
g
′
(
0
)
g'(0)
g
′
(
0
)
exists. Give a brief reason for your answer.
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