Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
If
f
(
x
)
=
x
2
+
1
f(x) = \sqrt{x^2 + 1}
f
(
x
)
=
x
2
+
1
,
g
(
x
)
=
x
+
1
x
2
+
1
g(x) = \frac{x+1}{x^2+1}
g
(
x
)
=
x
2
+
1
x
+
1
and
h
(
x
)
=
2
x
−
3
h(x) = 2x - 3
h
(
x
)
=
2
x
−
3
, then
f
′
(
h
′
(
g
′
(
x
)
)
)
=
f'(h'(g'(x))) =
f
′
(
h
′
(
g
′
(
x
)))
=
(A) 0 (B)
1
x
2
+
1
\frac{1}{\sqrt{x^2+1}}
x
2
+
1
1
(C)
2
5
\frac{2}{\sqrt{5}}
5
2
(D)
x
x
2
+
1
\frac{x}{\sqrt{x^2+1}}
x
2
+
1
x
Browse the problem library