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Mathematics
Mathematics
Problem
The derivative of a differentiable function is
f
′
(
x
)
=
(
x
−
2
)
(
x
+
4
)
(
x
−
6
)
f'(x) = (x-2)(x+4)(x-6)
f
′
(
x
)
=
(
x
−
2
)
(
x
+
4
)
(
x
−
6
)
. Determine the
x
x
x
-coordinate(s) at which
f
f
f
attains a local maximum.
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