Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Problem
Problem
Let
S
S
S
be the set of real values of parameter
λ
\lambda
λ
for which the equation
f
(
x
)
=
2
x
3
−
3
(
2
+
λ
)
x
2
+
12
λ
x
f(x) = 2x^3 - 3(2 + \lambda)x^2 + 12\lambda x
f
(
x
)
=
2
x
3
−
3
(
2
+
λ
)
x
2
+
12
λ
x
has exactly one local maximum and exactly one local minimum. Then,
S
S
S
is a subset of a.
(
−
4
,
∞
)
(-4, \infty)
(
−
4
,
∞
)
b.
(
−
3
,
3
)
(-3, 3)
(
−
3
,
3
)
c.
(
3
,
∞
)
(3, \infty)
(
3
,
∞
)
d.
(
−
∞
,
0
)
(-\infty, 0)
(
−
∞
,
0
)
Browse the problem library