exercsise_4.ipynb

Kernel: Python 2 (system-wide)

import matplotlib.pyplot as plt
import numpy as np

#1
x = np.linspace(0,0.01,1000)
y = np.exp(x)

plt.plot(x,y,'b')
y = x + 1
plt.plot(x,y,'r')
#הגרפים כמעט זהים

[<matplotlib.lines.Line2D at 0x7f0267c84350>]

x = np.linspace(0,0.1,1000)
y = np.sin(x)

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

y = x
plt.plot(x,y,'r')
#הגרפים  זהים

[<matplotlib.lines.Line2D at 0x7f0265bf8890>]

import math
x = np.linspace(0,0.1,1000)
y = np.cos(x)

plt.plot(x,y,'b')
y = x*0
der = [np.cos(0),-np.sin(0),-np.cos(0),np.sin(0)]
for i in range(2):
    y += der[i%4]*(x**i)/math.factorial(i)

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

[<matplotlib.lines.Line2D at 0x7f02656cb9d0>]