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Mathematics
Problem
The function
g
(
x
)
=
tan
−
1
(
x
)
g(x)= \tan^{-1}(x)
g
(
x
)
=
tan
−
1
(
x
)
is differentiable for all real
x
x
x
. Explain why
x
=
0
x=0
x
=
0
is not a critical point of
g
g
g
.
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