Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Lebl-Basic-Analysis-I
· Problem 4.3.3
The Derivative
Mathematics · higher-derivatives-absolute-value
Problem
Let
f
(
x
)
:
=
∣
x
∣
3
f(x) := |x|^3
f
(
x
)
:=
∣
x
∣
3
. Compute
f
′
(
x
)
f'(x)
f
′
(
x
)
and
f
′
′
(
x
)
f''(x)
f
′′
(
x
)
for all
x
x
x
, but show that
f
(
3
)
(
0
)
f^{(3)}(0)
f
(
3
)
(
0
)
does not exist.
Related theory
Absolute Value Inequalities And Intervals
Browse the problem library