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import numpy as np 
import matplotlib.pyplot as plt 

def sigmoid(x):
    return 1 / (1+ np.exp(-x))
def sigmoid_vanishing(x):
    return sigmoid(x) * (1 - sigmoid(x))
x = np.linspace(-10,10,100)

y = sigmoid(x)
y_prime = sigmoid_vanishing(x)

plt.figure(figsize = (10 , 6))
plt.plot(x,y,label = "sigmoid")
plt.plot(x,y_prime,label = "sigmoid vanishing")

plt.xlabel("x")
plt.ylabel("y")
plt.title("day la ham sigmoid va sigmoid vanishing")
plt.legend()
plt.grid(True)
plt.show()