ex1.ipynb

Kernel: Python 2 (system-wide)

import numpy as np
from matplotlib import pyplot as plt
x = np.linspace(0,2,60)
y = x**3 - 9*x**2 -23 * x -15

plt.plot(x,y,'ro')

y1 = np.diff(y)/np.diff(x)

plt.plot(x[:-1],y1,'bo')

[<matplotlib.lines.Line2D at 0x7fd9039c2810>]

x = np.linspace(0,6.28,100)
y = np.sin(x)**2

plt.plot(x,y,'ro')

y1 = np.diff(y)/np.diff(x)

#np.diff -> [x]

plt.plot(x[:-1],y1,'bo')

[<matplotlib.lines.Line2D at 0x7fd9019118d0>]

x = np.linspace(0,6.28,1000)
plt.plot(np.sin(x),np.cos(x))
plt.plot(np.sin(x)*0.2-0.4,np.cos(x)*0.2 + 0.4,'g')
plt.plot(np.sin(x)*0.2+0.4,np.cos(x)*0.2 + 0.4,'orange')
plt.plot(-np.cos(x/2)*0.2,-np.sin(x/2)*0.2,'r')

x = np.arange(0,5*6.28,0.01)
r = x/np.max(x)
r = r/5
plt.plot(np.cos(x)*r + 0.4,np.sin(x)*r + 0.4,'darkorchid')

[<matplotlib.lines.Line2D at 0x7fd8fae33290>]