AP Calculus BC Quiz
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ANALYTICAL APPLICATIONS OF DIFFERENTIATION
Question 1
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For
f
f
f
,
f
′
(
x
)
>
0
f'(x)>0
f
′
(
x
)
>
0
on
(
−
1
,
4
)
( -1,4)
(
−
1
,
4
)
,
f
′
(
4
)
=
0
f'(4)=0
f
′
(
4
)
=
0
, and
f
′
(
x
)
<
0
f'(x)<0
f
′
(
x
)
<
0
on
(
4
,
6
)
(4,6)
(
4
,
6
)
; where is a local maximum?
A
A local minimum at
x
=
4
x=4
x
=
4
B
A local maximum at
x
=
4
x=4
x
=
4
C
A local maximum at
x
=
−
1
x=-1
x
=
−
1
D
A local minimum at
x
=
6
x=6
x
=
6
E
No local extremum occurs
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