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Mathematics
Mathematics
Problem
For the function
f
(
x
)
=
sin
x
f(x)=\sin x
f
(
x
)
=
sin
x
on the interval
[
0
,
π
]
[0,\pi]
[
0
,
π
]
, determine all values of
c
∈
(
0
,
π
)
c\in(0,\pi)
c
∈
(
0
,
π
)
for which
f
′
(
c
)
f'(c)
f
′
(
c
)
is equal to the average rate of change of
f
f
f
on
[
0
,
π
]
[0,\pi]
[
0
,
π
]
.
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