AP Calculus AB Quiz
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ANALYTICAL APPLICATIONS OF DIFFERENTIATION
Question 1
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For
s
s
s
with
s
′
(
x
)
=
x
2
−
9
x
2
+
1
s'(x)=\dfrac{x^2-9}{x^2+1}
s
′
(
x
)
=
x
2
+
1
x
2
−
9
, on which interval is
s
s
s
increasing?
A
(
−
3
,
3
)
(-3,3)
(
−
3
,
3
)
B
(
−
∞
,
−
3
)
∪
(
3
,
∞
)
(-\infty,-3)\cup(3,\infty)
(
−
∞
,
−
3
)
∪
(
3
,
∞
)
C
(
−
∞
,
3
)
(-\infty,3)
(
−
∞
,
3
)
D
(
0
,
∞
)
(0,\infty)
(
0
,
∞
)
E
(
−
∞
,
−
3
)
∪
(
−
3
,
3
)
(-\infty,-3)\cup(-3,3)
(
−
∞
,
−
3
)
∪
(
−
3
,
3
)
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