Calculates the derivative of a function at a given point, finds the equation of the tangent line, and plots this on the plane with matplotkib.

derivative_matplotlib.py

from matplotlib import pyplot as plt

def function(x):
    # Enter any function (example given by default)
    return x**2 + 4

def graph_function():
    y_points = []
    x_points = []

    for i in range(31):
        y_points.append(function(i))
        x_points.append(i)
    
    plt.plot(x_points, y_points)



def differentiate(x):
    y_points = []
    x_points = []
    h = 1
    for i in range(1, 16):
        h /= i
        derivative = (function(x+h) - function(x))/h
        print(derivative)
    
    for j in range(31):
        # Slope equation for the tangent line
        y_points.append(derivative*(j - x) + function(x))
        x_points.append(j)
    
    plt.plot(x_points, y_points)
    plt.show()


graph_function()
# Enter input point (example given by default)
differentiate(10)