Which of the following options correctly differentiates the function F(t)=t^(9)+e^(9)F^(')(t)?
A) F'(t)=9t^(8)+e^(9)F^(')(t)
B) F'(t)=9t^(9)+e^(9)F^(')(t)
C) F'(t)=t^(9)+9e^(9)F^(')(t)
D) F'(t)=t^(9)+e^(9)F^(')(t)