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Mathematics
Mathematics
Problem
For
f
(
x
)
=
sin
x
f(x)=\sin x
f
(
x
)
=
sin
x
on
[
0
,
π
]
[0,\pi]
[
0
,
π
]
, which of the following values of
c
c
c
in
(
0
,
π
)
(0,\pi)
(
0
,
π
)
satisfies
f
′
(
c
)
=
f
(
π
)
−
f
(
0
)
π
−
0
f'(c)=\dfrac{f(\pi)-f(0)}{\pi-0}
f
′
(
c
)
=
π
−
0
f
(
π
)
−
f
(
0
)
? a)
3
π
4
\dfrac{3\pi}{4}
4
3
π
b)
π
4
\dfrac{\pi}{4}
4
π
c)
π
2
\dfrac{\pi}{2}
2
π
d)
π
\pi
π
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