Verify Cauchy's Mean Value Theorem for the functions () = 3() = 3 in the
interval [−
6
, 0], and define Maclaurin's infinite series expansion of the function log(1 + 2).
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Answered by
1
The function
f
(
x
)
is differentiable on the interval
[
a
,
b
]
,
where
a
b
>
0.
Show that the following equality
1
a
−
b
∣
∣
∣
a
b
f
(
a
)
f
(
b
)
∣
∣
∣
=
f
(
c
)
−
c
f
′
(
c
)
holds for this function, where
c
∈
(
a
,
b
)
.
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