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Mathematics
Mathematics
Problem
For
0
≤
x
≤
3
0\le x\le 3
0
≤
x
≤
3
, let
f
(
x
)
=
x
3
−
6
x
2
+
9
x
f(x)=x^{3}-6x^{2}+9x
f
(
x
)
=
x
3
−
6
x
2
+
9
x
. Which value of
c
c
c
in
(
0
,
3
)
(0,3)
(
0
,
3
)
satisfies
f
′
(
c
)
=
0
f'(c)=0
f
′
(
c
)
=
0
? a)
c
=
2
c=2
c
=
2
b)
c
=
3
2
c=\dfrac{3}{2}
c
=
2
3
c)
c
=
1
c=1
c
=
1
d)
c
=
5
2
c=\dfrac{5}{2}
c
=
2
5
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