AP Calculus AB Quiz
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DIFFERENTIATION: DEFINITION AND FUNDAMENTAL PROPERTIES
Question 1
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A model defines
g
(
x
)
=
csc
(
x
)
cot
(
x
)
g(x)=\csc(x)\cot(x)
g
(
x
)
=
csc
(
x
)
cot
(
x
)
. What is
g
′
(
x
)
g'(x)
g
′
(
x
)
?
A
−
csc
(
x
)
cot
2
(
x
)
−
csc
3
(
x
)
-\csc(x)\cot^2(x)-\csc^3(x)
−
csc
(
x
)
cot
2
(
x
)
−
csc
3
(
x
)
B
csc
(
x
)
cot
2
(
x
)
+
csc
3
(
x
)
\csc(x)\cot^2(x)+\csc^3(x)
csc
(
x
)
cot
2
(
x
)
+
csc
3
(
x
)
C
−
csc
2
(
x
)
cot
(
x
)
−
csc
(
x
)
cot
(
x
)
-\csc^2(x)\cot(x)-\csc(x)\cot(x)
−
csc
2
(
x
)
cot
(
x
)
−
csc
(
x
)
cot
(
x
)
D
−
csc
(
x
)
cot
2
(
x
)
+
csc
3
(
x
)
-\csc(x)\cot^2(x)+\csc^3(x)
−
csc
(
x
)
cot
2
(
x
)
+
csc
3
(
x
)
E
−
csc
2
(
x
)
cot
(
x
)
−
csc
2
(
x
)
-\csc^2(x)\cot(x)-\csc^2(x)
−
csc
2
(
x
)
cot
(
x
)
−
csc
2
(
x
)
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