AP Calculus BC Quiz
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ANALYTICAL APPLICATIONS OF DIFFERENTIATION
Question 1
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For
f
′
(
x
)
=
(
x
−
1
)
(
x
+
4
)
(
x
+
4
)
2
f'(x)=\dfrac{(x-1)(x+4)}{(x+4)^2}
f
′
(
x
)
=
(
x
+
4
)
2
(
x
−
1
)
(
x
+
4
)
, on which interval(s) is
f
f
f
decreasing?
A
(
−
∞
,
−
4
)
(-\infty,-4)
(
−
∞
,
−
4
)
B
(
−
4
,
1
)
(-4,1)
(
−
4
,
1
)
C
(
1
,
∞
)
(1,\infty)
(
1
,
∞
)
D
(
−
∞
,
1
)
(-\infty,1)
(
−
∞
,
1
)
E
(
−
∞
,
−
4
)
∪
(
1
,
∞
)
(-\infty,-4)\cup(1,\infty)
(
−
∞
,
−
4
)
∪
(
1
,
∞
)
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