Ecuatia tangentei intr-un punct
y-yo=F `(x)*(x-xo) Relatia 1
y0=F(-1)=(e^-1)*[3*(-1)-2]=(e^-1)*(-5)=-5/e *=ori
F `(x)=e^x*(3x-2)+3e^x=e^x*(3x+1)
F `(-1)=(e^-1)*(-3+1)=-2/e
Inlocuiest F(-1) si F `(-1) in relatia 1 si obtii
y-(-5/e)=(-2/e)*[x-(-1)]
y+5/e=-2/e(x+1)
y=-2/e(x+1)-5/e
y= - 2/e*x-7/e