...

f(x) = (x + 0.4399999999999995)^(3.0) / 60.0 - (x + 0.4399999999999995)^(2.0) / 40.0 - (x + 0.4399999999999995) / 20.0 - 0.2999999999999998
N_1 = Point(xAxis)
Text1: "x_1\quad=\quad " + (x(N_1))
a = OrthogonalLine(N_1, xAxis)
A = Intersect(f, a)
t_1 = Tangent(A, f(x))
N_2 = Intersect(t_1, xAxis)
Text2: "x_2 \quad=\quad x_1 \quad - \quad \frac {f(x_1)}{f'(x_1)} \quad= \quad" + (x(N_2))
b = OrthogonalLine(N_2, xAxis)
B = Intersect(f, b)
t_2 = Tangent(B, f(x))
N_3 = Intersect(t_2, xAxis)
Text3: "x_3 \quad= \quad x_2 \quad - \quad \frac {f(x_2)}{f'(x_2)} \quad=\quad " + (x(N_3))
c = OrthogonalLine(N_3, xAxis)
C = Intersect(f, c)
t_3 = Tangent(C, f(x))
N_4 = Intersect(xAxis, t_3)
Text4: "x_4 \quad=\quad x_3 \quad - \quad \frac {f(x_3)}{f'(x_3)} \quad=\quad " + (x(N_4))
N = Intersect(f, xAxis)
Text6: "x \quad=\quad " + (x(N))