Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Consider
f
(
x
)
=
x
3
−
6
x
2
+
9
x
f(x)=x^{3}-6x^{2}+9x
f
(
x
)
=
x
3
−
6
x
2
+
9
x
on
[
0
,
3
]
[0,3]
[
0
,
3
]
. At which interior point of the interval does the derivative of
f
f
f
equal the average rate of change of
f
f
f
on
[
0
,
3
]
[0,3]
[
0
,
3
]
? a)
x
=
2
x=2
x
=
2
b) No such point exists in
(
0
,
3
)
(0,3)
(
0
,
3
)
c)
x
=
1
x=1
x
=
1
d)
x
=
3
2
\displaystyle x=\frac{3}{2}
x
=
2
3
Browse the problem library