There's an error to this code when I run it in google collab # objectives: 1) demonstrate numerical differentialtion, # and 2) illustrate results graphically. import numpy
There's an error to this code when I run it in google collab # objectives: 1) demonstrate numerical differentialtion, # and 2) illustrate results graphically. import numpy
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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There's an error to this code when I run it in google collab
# objectives: 1) demonstrate numerical differentialtion,
# and 2) illustrate results graphically.
import numpy
import math
from numpy import arange, cos
import matplotlib.pyplot
from matplotlib.pyplot import *
# A general function for calculating the slope between two points: x and
# x+delta.
def der(x,delta):
delta = float(delta)
if delta < (0.0000001):
print ('Value chosen for delta is too small.')
return 1/delta
else:
slope = (f(x + delta) - f(x))/delta
return slope
# Define the function y=100e^(-0.0482t)
def f(x):
f = (100.0**(-0.0482*x))
return (f)
point = 2.0 #This is a point at which a derivative will be calculated.
# The following statements initialize variables for computation.
number = 510
increment =10
y = []
x = []
figure()
f=[3,-4,-12,0,2]
print ('\nFunction')
print (f)
print ('\nFirst Derivative')
g= f.deriv(m=1) # First derivative with m=1.
print (g)
print ('\nSecond Derivative')
q= f.deriv(m=2) # Second derivative with m=2.
print (q)
x=linspace(-2,3,101)
y=p(x)
yg=g(x) # These statements define points for plotting.
yq=q(x)
y0=0*x # This statement defines the y axis for plotting.
plot (x,y,label ='y=f(x)')
plot (x,yg,label ='First Derivative')
plot (x,yq,label ='Second Derivative')
legend(loc='best')
plot (x,y0)
xlabel('x-axis')
ylabel('y-axis')
title ('Plot Showing Function, First and Second Derivatives')
show()
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