AP Calculus AB Quiz
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DIFFERENTIATION: COMPOSITE, IMPLICIT, AND INVERSE FUNCTIONS
Question 1
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Let
h
(
x
)
=
x
2
+
2
x
h(x)=x^2+2x
h
(
x
)
=
x
2
+
2
x
(restricted to
x
≥
−
1
x\ge -1
x
≥
−
1
) and
h
(
3
)
=
15
h(3)=15
h
(
3
)
=
15
. What is
(
h
−
1
)
′
(
15
)
(h^{-1})'(15)
(
h
−
1
)
′
(
15
)
?
A
8
8
8
B
1
8
\dfrac{1}{8}
8
1
C
1
h
′
(
15
)
\dfrac{1}{h'(15)}
h
′
(
15
)
1
D
h
′
(
3
)
h'(3)
h
′
(
3
)
E
1
15
\dfrac{1}{15}
15
1
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