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Mathematics
Problem
A function
f
f
f
is continuous at
x
=
−
1
x=-1
x
=
−
1
. Near
x
=
−
1
x=-1
x
=
−
1
, the slope of the graph just to the left of
−
1
-1
−
1
is approximately
3
3
3
, while the slope just to the right is approximately
−
2
-2
−
2
. Determine whether
f
′
(
−
1
)
f'(-1)
f
′
(
−
1
)
exists and briefly explain your reasoning.
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