Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
f
(
x
)
=
x
3
−
3
x
f(x)=x^{3}-3x
f
(
x
)
=
x
3
−
3
x
. At
x
=
0
x=0
x
=
0
, both
f
′
(
0
)
=
0
f'(0)=0
f
′
(
0
)
=
0
and
f
′
′
(
0
)
=
0
f''(0)=0
f
′′
(
0
)
=
0
. Which of the following best describes
x
=
0
x=0
x
=
0
? a) Local maximum b) Neither maximum nor minimum (point of inflection) c) Absolute maximum d) Local minimum
Browse the problem library