AP Calculus BC Quiz
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DIFFERENTIATION: DEFINITION AND FUNDAMENTAL PROPERTIES
Question 1
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A velocity function is
v
(
x
)
=
2
sin
x
−
ln
x
v(x)=2\sin x-\ln x
v
(
x
)
=
2
sin
x
−
ln
x
. What is
v
′
(
x
)
v'(x)
v
′
(
x
)
for
x
>
0
x>0
x
>
0
?
A
2
cos
x
−
ln
x
2\cos x-\ln x
2
cos
x
−
ln
x
B
−
2
cos
x
−
1
x
-2\cos x-\dfrac{1}{x}
−
2
cos
x
−
x
1
C
2
cos
x
−
1
x
2\cos x-\dfrac{1}{x}
2
cos
x
−
x
1
D
2
sin
x
−
1
x
2\sin x-\dfrac{1}{x}
2
sin
x
−
x
1
E
−
2
sin
x
−
1
x
-2\sin x-\dfrac{1}{x}
−
2
sin
x
−
x
1
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