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Mathematics
Mathematics
Problem
Let
h
(
x
)
=
∣
x
∣
h(x)=|x|
h
(
x
)
=
∣
x
∣
and define
g
(
x
)
=
x
2
h
(
x
)
g(x)=x^{2}h(x)
g
(
x
)
=
x
2
h
(
x
)
. Determine whether
g
′
(
0
)
g'(0)
g
′
(
0
)
exists, and if it does, state its value.
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