$$f(x) = 1/8x^3 - 3/2x^2 +9/2x $$$$f'(x) = 3/8x^2 - 3x +9/2 $$$$f'(4) = 3/8*4^2 - 3*4 +9/2 $$$$f'(x) = 6 - 12 +4,5=-1,5 $$$$T(x)=2+(x-4)*(-1,5)=0$$$$2-1,5x+6=0$$$$x_T=16/3$$$$N(x)=2+(x-4)*2/3=0$$$$2+2/3x-8/3=0$$$$x_N=1$$$$A=(16/3-3/3)*2/2=13/3≈4,33 FE$$
$$T(0)=2+4*1,5)=8$$
$$N(0)=2-4*2/3=-2/3$$
$$B=26/3*4/2=52/3≈17,33FE$$