Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
The derivative of a differentiable function
f
f
f
satisfies
f
′
(
x
)
>
0
f'(x)>0
f
′
(
x
)
>
0
for
−
4
<
x
<
1
-4<x<1
−
4
<
x
<
1
and
3
<
x
<
5
3<x<5
3
<
x
<
5
, and
f
′
(
x
)
<
0
f'(x)<0
f
′
(
x
)
<
0
for
1
<
x
<
3
1<x<3
1
<
x
<
3
. Identify the interval(s) where
f
f
f
is increasing and the interval(s) where
f
f
f
is decreasing.
Browse the problem library