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Mathematics
Mathematics
Problem
A continuous function
h
h
h
is differentiable for
0
<
x
<
5
0<x<5
0
<
x
<
5
and satisfies
h
(
5
)
−
h
(
0
)
=
8
h(5)-h(0)=8
h
(
5
)
−
h
(
0
)
=
8
. Identify the value that
h
′
(
c
)
h'(c)
h
′
(
c
)
must assume for at least one
c
c
c
with
0
<
c
<
5
0<c<5
0
<
c
<
5
.
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