AP Calculus BC Quiz
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DIFFERENTIATION: DEFINITION AND FUNDAMENTAL PROPERTIES
Question 1
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The temperature is modeled by
T
(
t
)
=
e
t
cos
t
T(t)=e^t\cos t
T
(
t
)
=
e
t
cos
t
. What is
T
′
(
t
)
T'(t)
T
′
(
t
)
?
A
e
t
cos
t
−
e
t
sin
t
e^t\cos t-e^t\sin t
e
t
cos
t
−
e
t
sin
t
B
e
t
(
−
sin
t
)
e^t(-\sin t)
e
t
(
−
sin
t
)
C
e
t
cos
t
e^t\cos t
e
t
cos
t
D
e
t
sin
t
−
e
t
cos
t
e^t\sin t-e^t\cos t
e
t
sin
t
−
e
t
cos
t
E
e
t
cos
t
sin
t
e^t\cos t\sin t
e
t
cos
t
sin
t
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