Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
For a continuous function
h
h
h
, it is known that
h
(
3
)
=
5
h(3)=5
h
(
3
)
=
5
and
h
′
(
3
)
=
0
h'(3)=0
h
′
(
3
)
=
0
. Which statement describes
(
h
−
1
)
′
(
5
)
(h^{-1})'(5)
(
h
−
1
)
′
(
5
)
? a)
(
h
−
1
)
′
(
5
)
=
0
(h^{-1})'(5)=0
(
h
−
1
)
′
(
5
)
=
0
b)
(
h
−
1
)
′
(
5
)
(h^{-1})'(5)
(
h
−
1
)
′
(
5
)
is undefined because the graph has a vertical tangent at
(
3
,
5
)
(3,5)
(
3
,
5
)
c)
(
h
−
1
)
′
(
5
)
=
1
5
(h^{-1})'(5)=\dfrac15
(
h
−
1
)
′
(
5
)
=
5
1
d)
(
h
−
1
)
′
(
5
)
=
1
(h^{-1})'(5)=1
(
h
−
1
)
′
(
5
)
=
1
Browse the problem library