AP Calculus AB Quiz
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DIFFERENTIATION: COMPOSITE, IMPLICIT, AND INVERSE FUNCTIONS
Question 1
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A tracking system defines
m
(
x
)
=
arccos
(
2
−
6
x
)
m(x)=\arccos(2-6x)
m
(
x
)
=
arccos
(
2
−
6
x
)
. What is
m
′
(
x
)
m'(x)
m
′
(
x
)
?
A
6
1
−
(
2
−
6
x
)
2
\dfrac{6}{\sqrt{1-(2-6x)^2}}
1
−
(
2
−
6
x
)
2
6
B
−
6
1
−
(
2
−
6
x
)
2
-\dfrac{6}{\sqrt{1-(2-6x)^2}}
−
1
−
(
2
−
6
x
)
2
6
C
−
6
1
+
(
2
−
6
x
)
2
\dfrac{-6}{\sqrt{1+(2-6x)^2}}
1
+
(
2
−
6
x
)
2
−
6
D
1
1
−
(
2
−
6
x
)
2
\dfrac{1}{\sqrt{1-(2-6x)^2}}
1
−
(
2
−
6
x
)
2
1
E
−
sin
(
2
−
6
x
)
-\sin(2-6x)
−
sin
(
2
−
6
x
)
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