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Mathematics
Mathematics
Problem
Let the function
f
(
x
)
=
2
x
3
+
(
2
p
−
7
)
x
2
+
3
(
2
p
−
9
)
x
−
6
f(x) = 2x^3 + (2p-7)x^2 + 3(2p-9)x - 6
f
(
x
)
=
2
x
3
+
(
2
p
−
7
)
x
2
+
3
(
2
p
−
9
)
x
−
6
have a maxima for some value of
x
<
0
x < 0
x
<
0
and a minima for some value of
x
>
0
x > 0
x
>
0
. Then, the set of all values of
p
p
p
is.
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