AP Calculus BC Quiz
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ANALYTICAL APPLICATIONS OF DIFFERENTIATION
Question 1
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The graph of
f
f
f
is increasing on
(
−
∞
,
2
)
(-\infty,2)
(
−
∞
,
2
)
and decreasing on
(
2
,
∞
)
(2,\infty)
(
2
,
∞
)
. Which could represent
f
′
(
x
)
f'(x)
f
′
(
x
)
?
A
f
′
(
x
)
f'(x)
f
′
(
x
)
is negative for
x
<
2
x<2
x
<
2
, zero at
x
=
2
x=2
x
=
2
, positive for
x
>
2
x>2
x
>
2
.
B
f
′
(
x
)
f'(x)
f
′
(
x
)
is positive for all
x
x
x
and never equals
0
0
0
.
C
f
′
(
x
)
f'(x)
f
′
(
x
)
is positive for
x
<
2
x<2
x
<
2
, zero at
x
=
2
x=2
x
=
2
, negative for
x
>
2
x>2
x
>
2
.
D
f
′
(
x
)
f'(x)
f
′
(
x
)
is zero for all
x
<
2
x<2
x
<
2
and positive for
x
>
2
x>2
x
>
2
.
E
f
′
(
x
)
f'(x)
f
′
(
x
)
is negative for all
x
x
x
but equals
0
0
0
at
x
=
2
x=2
x
=
2
.
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