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Mathematics
Mathematics
Problem
Let
n
n
n
be a positive integer and define
f
(
x
)
=
x
n
f(x)=x^{n}
f
(
x
)
=
x
n
. Which of the following equals
f
(
n
)
(
x
)
f^{(n)}(x)
f
(
n
)
(
x
)
? a)
n
x
n
−
1
n x^{n-1}
n
x
n
−
1
b)
(
n
+
1
)
!
(n+1)!
(
n
+
1
)!
c)
n
!
n!
n
!
d)
0
0
0
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