2) 3x²+6x-2 = -2, 3x²+6x=0. 3x*(x+2)=0. а) x₀=0, б) x₀=-2
а) x₀=0,
f(x₀) = 3*0³ +3*0² -2*0 -2 = -2
f'(0) =3*0 +6*0 -2 = -2
y =-2-2(x -0) = -2 -2x
y = -2x -2
б) x₀=-2
f(x₀) = 3*(-2)³ +3*(-2)² -2*(-2) -2 = -24 +12 +4 -2 = -10
f'(0) =3*(-2) +6*(-2) -2 = -6 -12 -2 = -20
y =-10 - 20(x +2) = -10 -20x -40 = -20x -50
y = -20x - 50