Let f(x)=-5e^(x+1)+e^8 .

find f'(0)

F(x) = -5*e^(x+1) + e^8,

F(0) = -5*e^1 + e^8,
F(0) = -5*2.72 + 2980.96,
F(0) = -13.6 + 2980.96 = 2967.4.