Which of the following functions will have its n\({}^{\rm th}\) derivative equal to 0 over its entire domain for sufficiently large values of \(n\)?

W) \(f(x)=x^{100}+\sin x\)

X) \(f(x)=x-x^{-1}\)

Y) \(f(x)=x^{1001}+x^{1000}+\ldots+x^{2}+x\)

Z) \(f(x)=\ln x-x^{2}\)
Y) \(f(x)=x^{1001}+x^{1000}+\ldots+x^{2}+x\)