Mathematics

Problem

For

f(x)=x^{-1}

and any positive integer

n

, which of the following expressions equals

f^{(n)}(x)

? a)

(-1)^{n}\,n!\,x^{-n}

n!\,x^{-(n+1)}

(-1)^{n}\,n!\,x^{-(n+1)}

(-1)^{n-1}\,n!\,x^{-(n+1)}