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Mathematics
Mathematics
Problem
Consider the function
f
(
x
)
=
4
x
3
3
−
16
x
f(x) = \frac{4x^3}{3} - 16x
f
(
x
)
=
3
4
x
3
−
16
x
, where
x
∈
R
x \in \mathbb{R}
x
∈
R
. The graph of
y
=
f
(
x
)
y = f(x)
y
=
f
(
x
)
has a local minimum point at
(
p
,
q
)
(p, q)
(
p
,
q
)
where
p
>
0
p > 0
p
>
0
. Find the value of
p
p
p
and the value of
q
q
q
.
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