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Mathematics
Problem
Let
f
(
x
)
=
x
3
+
2
x
+
1
f(x)=x^{3}+2x+1
f
(
x
)
=
x
3
+
2
x
+
1
. The inverse function
f
−
1
f^{-1}
f
−
1
is defined near
x
=
4
x=4
x
=
4
. What is
(
f
−
1
)
′
(
4
)
(f^{-1})'(4)
(
f
−
1
)
′
(
4
)
? a)
5
5
5
b)
1
3
\dfrac{1}{3}
3
1
c)
1
50
\dfrac{1}{50}
50
1
d)
1
5
\dfrac{1}{5}
5
1
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