Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
For the family of functions
f
k
(
x
)
=
∣
x
∣
k
f_k(x)=|x|^{k}
f
k
(
x
)
=
∣
x
∣
k
with real parameter
k
>
0
k>0
k
>
0
, determine all values of
k
k
k
for which
f
k
f_k
f
k
is not differentiable at
x
=
0
x=0
x
=
0
.
Browse the problem library