Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
f
(
x
)
=
e
x
f(x) = e^x
f
(
x
)
=
e
x
,
g
(
x
)
=
sin
−
1
x
g(x) = \sin^{-1} x
g
(
x
)
=
sin
−
1
x
and
h
(
x
)
=
f
(
g
(
x
)
)
h(x) = f(g(x))
h
(
x
)
=
f
(
g
(
x
))
, then
h
′
(
x
)
/
h
(
x
)
=
h'(x)/h(x) =
h
′
(
x
)
/
h
(
x
)
=
(a)
e
sin
−
1
x
e^{\sin^{-1} x}
e
s
i
n
−
1
x
(b)
1
/
1
−
x
2
1/\sqrt{1-x^2}
1/
1
−
x
2
(c)
sin
−
1
x
\sin^{-1} x
sin
−
1
x
(d)
1
/
(
1
−
x
2
)
1/(1-x^2)
1/
(
1
−
x
2
)
Browse the problem library