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Prove that if
f
(
x
)
is continuous on
[
a
,
b
]
and
f
′
(
x
)
=
0
on
(
a
,
b
)
, then
f
(
x
)
is a constant.
Prove the Mean-Value Theorem.
Prove Rolle's Theorem.
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Lesson Specific Problems
Prove that if
f
(
x
)
is continuous on
[
a
,
b
]
and
f
′
(
x
)
=
0
on
(
a
,
b
)
, then
f
(
x
)
is a constant.
Prove the Mean-Value Theorem.
Prove Rolle's Theorem.
