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Mathematics
Mathematics
Problem
For
f
(
x
)
=
∣
x
−
2
∣
f(x)=|x-2|
f
(
x
)
=
∣
x
−
2∣
with domain
R
\mathbb R
R
, calculate
f
′
(
x
)
f'(x)
f
′
(
x
)
for
x
≠
2
x\neq 2
x
=
2
and determine whether
f
f
f
is differentiable at
x
=
2
x=2
x
=
2
.
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