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explain every line in phytone code in  colab below pls: # f(x) = tanx,  f'(x) = 1 / cosx^2, f'(1), f'(2), f'(3)=?

explain every line in phytone code in  colab below pls: # f(x) = tanx,  f'(x) = 1 / cosx^2, f'(1), f'(2), f'(3)=?

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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explain every line in phytone code in  colab below pls:

# f(x) = tanx,  f'(x) = 1 / cosx^2, f'(1), f'(2), f'(3)=?
# h interval: 1/100 - 1/1000

from math import *

def f(x):
  return tan(x)

def f1(x):
  return 1/cos(x)**2

h = 0.001

print ("F1 Forward     ", "F1 Back    ", "F1 Simetric     ", "F1 Exact     ")

for i in range (3):

  x = float(i+1)
  f1_forward =  (f(x+h)-f(x))/h
  f1_back = (f(x)-f(x-h))/h
  f1_simetric = (f(x+h)-f(x-h))/(2*h)
  f1_exact = f1(x)
  
  print ("%.10f" %f1_forward, "%.10f" %f1_back, "%.10f" %f1_simetric, "%.10f" %f1_exact)
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