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Mathematics
Problem
Consider a function
f
f
f
and its derivative
f
′
f'
f
′
. If
x
=
c
x=c
x
=
c
is NOT in the domain of
f
f
f
, must
c
c
c
belong to the domain of
f
′
f'
f
′
? Answer yes or no and justify in one sentence.
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