AP Calculus BC Quiz
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DIFFERENTIATION: COMPOSITE, IMPLICIT, AND INVERSE FUNCTIONS
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If
f
(
x
)
=
x
3
+
2
x
−
1
f(x)=x^3+2x-1
f
(
x
)
=
x
3
+
2
x
−
1
and
f
(
1
)
=
2
f(1)=2
f
(
1
)
=
2
, what is
(
f
−
1
)
′
(
2
)
(f^{-1})'(2)
(
f
−
1
)
′
(
2
)
?
A
1
5
\dfrac{1}{5}
5
1
B
5
5
5
C
1
2
\dfrac{1}{2}
2
1
D
2
2
2
E
1
3
\dfrac{1}{3}
3
1
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