92.131
Lecture 25
1 of 6
Ronald Brent © 2009 All rights reserved.
Rolle’s Theorem
Let
f
be a function that satisfies the following three hypotheses:
1)
f
is continuous on the closed interval
]
,
[
b
a
.
2)
f
is differentiable on the open interval
)
,
(
b
a
.
3)
)
(
)
(
b
f
a
f
=
Then there is a number
c
in
)
,
(
b
a
such that
0
)
(
=
′
c
f
.

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