Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Which of the following statements must be true if
f
f
f
is differentiable at
x
=
2
x = 2
x
=
2
? a)
f
′
f'
f
′
is continuous at
x
=
2
x = 2
x
=
2
. b)
f
f
f
is continuous at
x
=
2
x = 2
x
=
2
. c)
f
f
f
is differentiable on an open interval containing
x
=
2
x = 2
x
=
2
. d)
f
f
f
may be discontinuous at
x
=
2
x = 2
x
=
2
provided
f
′
(
2
)
f'(2)
f
′
(
2
)
exists.$
Browse the problem library