Mean Value Theorem
AP Calculus BC · Flashcards
AP CALCULUS BC · FLASHCARDS
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QUESTION
For
f
(
x
)
=
x
4
f(x) = x^4
f
(
x
)
=
x
4
, determine
c
c
c
on
[
−
1
,
1
]
[-1, 1]
[
−
1
,
1
]
using the Mean Value Theorem.
QUESTION
Find
c
c
c
for
f
(
x
)
=
x
2
f(x) = x^2
f
(
x
)
=
x
2
over
[
1
,
3
]
[1, 3]
[
1
,
3
]
using the Mean Value Theorem.
QUESTION
Identify the condition that ensures Mean Value Theorem's conclusion holds.
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ANSWER
Continuity and differentiability on the interval. Both properties must hold for the theorem to apply.
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