Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
f
f
f
be a continuous function such that
f
(
x
)
>
0
f(x)>0
f
(
x
)
>
0
for
−
2
<
x
<
1
-2<x<1
−
2
<
x
<
1
and
3
<
x
<
6
3<x<6
3
<
x
<
6
,
f
(
x
)
<
0
f(x)<0
f
(
x
)
<
0
for
1
<
x
<
3
1<x<3
1
<
x
<
3
and
x
>
6
x>6
x
>
6
, and
f
(
x
)
=
0
f(x)=0
f
(
x
)
=
0
at
x
=
−
2
,
1
,
3
,
6
x=-2,1,3,6
x
=
−
2
,
1
,
3
,
6
. Define
F
(
x
)
=
∫
−
2
x
f
(
t
)
d
t
F(x)=\int_{-2}^{x} f(t)\,dt
F
(
x
)
=
∫
−
2
x
f
(
t
)
d
t
. Determine the
x
x
x
-value(s) where
F
F
F
attains a local maximum.
Browse the problem library