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Mathematics
Problem
For integers
n
n
n
with
0
≤
n
≤
10
0\le n\le 10
0
≤
n
≤
10
, which expression gives the
n
n
n
th derivative of
s
(
x
)
=
7
x
10
s(x)=7x^{10}
s
(
x
)
=
7
x
10
? a)
7
10
n
x
10
−
n
7\,10^{\,n}\,x^{10-n}
7
1
0
n
x
10
−
n
b)
7
10
!
(
10
−
n
)
!
x
10
−
n
7\,\dfrac{10!}{(10-n)!}\,x^{10-n}
7
(
10
−
n
)!
10
!
x
10
−
n
c)
7
n
!
x
10
−
n
7\,n!\,x^{10-n}
7
n
!
x
10
−
n
d)
7
10
!
n
!
x
10
−
n
7\,\dfrac{10!}{n!}\,x^{10-n}
7
n
!
10
!
x
10
−
n
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