AI_Niewiarowska_lab6_2

from matplotlib import pyplot as plt
from random import random
import numpy as np

def L(w):
    return 4 * w ** 4 + 3 * w ** 3 - 6 * w ** 2 - 3

def pochodnia(w):
    return 16 * w ** 3 + 9 * w ** 2 - 12 * w

w = random()
old_w = 0
error = 1
precision = 5e-14
iteration = 0
max_iterations = 10000
learning_rate = 0.1

while error > precision and iteration <= max_iterations:
    old_w = w
    w = old_w - learning_rate * pochodnia(w)
    error = abs(old_w - w)
    iteration += 1

print("Minimum L(w):", L(w))

x = np.arange(0, 1, step=0.001)

plt.plot(x, L(x), color='violet', label='L(w)', linewidth=1.5)
plt.plot(x, pochodnia(x), color='blue', label='pochodnia(w)', linewidth=0.33)

plt.title('Pochodnia i L')
plt.grid()
plt.legend()
plt.show()