#!/usr/bin/python3

import numpy as np      # Numpy Library importieren
import matplotlib.pyplot as plt
from numpy.core.function_base import linspace    # Matplotlib für mathematische Plots

x_min = -4
x_max = 4
y_min = -2
y_max = 2

# Funktion definieren
x = np.linspace(x_min,x_max,200)
f_x = x - (1/6)*np.power(x,3) + (1/120)*np.power(x,5)
df_x = 1 - (1/2)*np.power(x,2) + (1/24)*np.power(x,4)
g_x = np.sin(x)
h_x = np.cos(x)

# Funktion plotten

plt.axis([x_min,x_max,y_min,y_max]) # xmin, xmax, ymin, ymax

plt.axhline(linewidth=2, color="gray")
plt.axvline(linewidth=2, color="gray")

plt.plot(x,f_x, label= r'f(x)')
plt.plot(x,df_x, label= r"f'(x)")
plt.plot(x,g_x, label= r"g(x)")
plt.plot(x,h_x, label= r"h(x)")
#plt.plot(x,g_x, label= r'$i_L(t)$')

plt.ylabel(r'$y$', size='large', weight="bold", color='blue')
plt.xlabel(r'$x$', size='large', weight="bold", color='blue')

plt.grid(True)

plt.legend()

plt.show()