AP Calculus BC Quiz
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DIFFERENTIATION: DEFINITION AND FUNDAMENTAL PROPERTIES
Question 1
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A ramp angle satisfies
θ
(
t
)
=
3
cot
(
t
)
\theta(t)=3\cot(t)
θ
(
t
)
=
3
cot
(
t
)
(radians). What is
θ
′
(
t
)
\theta'(t)
θ
′
(
t
)
?
A
−
3
csc
(
t
)
cot
(
t
)
-3\csc(t)\cot(t)
−
3
csc
(
t
)
cot
(
t
)
B
3
csc
2
(
t
)
3\csc^2(t)
3
csc
2
(
t
)
C
−
3
csc
2
(
t
)
-3\csc^2(t)
−
3
csc
2
(
t
)
D
3
sec
(
t
)
tan
(
t
)
3\sec(t)\tan(t)
3
sec
(
t
)
tan
(
t
)
E
−
3
sec
2
(
t
)
-3\sec^2(t)
−
3
sec
2
(
t
)
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