Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
For a differentiable function
f
f
f
with
f
(
a
)
=
b
f(a)=b
f
(
a
)
=
b
, which condition must be satisfied at
x
=
a
x=a
x
=
a
to guarantee that
(
f
−
1
)
′
(
b
)
(f^{-1})'(b)
(
f
−
1
)
′
(
b
)
exists? a)
f
′
(
a
)
=
0
f'(a)=0
f
′
(
a
)
=
0
b)
f
(
a
)
≠
0
f(a)\neq 0
f
(
a
)
=
0
c)
f
′
(
a
)
≠
0
f'(a)\neq 0
f
′
(
a
)
=
0
d)
f
′
(
a
)
>
0
f'(a)>0
f
′
(
a
)
>
0
Browse the problem library