Question

must be python programming.

consider function f(x) = sin(x) in the range of 0to pi. create a python code to calculate f’ (derivative of f(x)) in this range and plot these points. calculate the error at all the dicrete points.

Answer 1

from pylab import *

def f(x):

return sin(x)

def deriv(x,dx=0.005):

df = f(x+dx/2)-f(x-dx/2)

return df/dx

vederiv = vetorize(deriv)

x = linspae(0, 2*pi, 100)

y = vederiv(x)

plot(x,y,'+')

plot(x,os(x))

show()