Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
f
n
(
x
)
=
e
f
n
−
1
(
x
)
f_n(x)=e^{f_{n-1}(x)}
f
n
(
x
)
=
e
f
n
−
1
(
x
)
for all
n
∈
N
n\in N
n
∈
N
and
f
0
(
x
)
=
x
f_0(x)=x
f
0
(
x
)
=
x
, then
d
d
x
{
f
n
(
x
)
}
\frac{d}{dx}\{f_n(x)\}
d
x
d
{
f
n
(
x
)}
(a)
f
n
(
x
)
d
d
x
{
f
n
−
1
(
x
)
}
f_n(x)\frac{d}{dx}\{f_{n-1}(x)\}
f
n
(
x
)
d
x
d
{
f
n
−
1
(
x
)}
(b)
f
n
(
x
)
f
n
−
1
(
x
)
f_n(x)f_{n-1}(x)
f
n
(
x
)
f
n
−
1
(
x
)
(c)
f
n
(
x
)
f
n
−
1
(
x
)
…
f
2
(
x
)
f
1
(
x
)
f_n(x)f_{n-1}(x)\dots f_2(x)f_1(x)
f
n
(
x
)
f
n
−
1
(
x
)
…
f
2
(
x
)
f
1
(
x
)
(d) None of these
Browse the problem library