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from matplotlib import pyplot
 
def rectified(x):
	return max(0.0, x)
 
series_in = [x for x in range(-100, 101)]
series_out = [rectified(x) for x in series_in]

pyplot.plot(series_in, series_out)
pyplot.show()

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import numpy as np
import matplotlib.pyplot as plt

def sigmoid(x):
    return 1 / (1 + np.exp(-x))

def derivative(x, step):
    return (sigmoid(x+step) - sigmoid(x)) / step

x = np.linspace(-10, 10, 1000)

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