Easy# Higher Order Derivatives: Where $f^{ k }\left( x \right) =0$

APCALC-NUK1BS

Which of the following functions satisfies the condition $f^{ k }\left( x \right) =0$ for all $k\ge 5$?

I.$f\left( x \right) ={ x }^{ 3 }+4x+4$II.$f\left( x \right) =-{ 3x }^{ 4 }+2{ x }^{ 3 }-6x+1$III.$f\left( x \right) ={ 2x }^{ 5 }-3{ x }^{ 2 }+7$