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Mathematics
Mathematics
Problem
Consider
g
p
(
x
)
=
∣
x
∣
p
g_p(x)=|x|^{p}
g
p
(
x
)
=
∣
x
∣
p
with
p
>
0
p>0
p
>
0
. Determine all real values of
p
p
p
for which
g
p
g_p
g
p
is differentiable at
x
=
0
x=0
x
=
0
.
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