Using python, f(x) = 3x3-4x2+8x+12 Compute and plot the first and second numerical derivative of the funcrion f(x) = 3x3-4x2+8x+12 for 100 different values of x between (-10, 10).
Using python, f(x) = 3x3-4x2+8x+12 Compute and plot the first and second numerical derivative of the funcrion f(x) = 3x3-4x2+8x+12 for 100 different values of x between (-10, 10).
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
Related questions
Question
100%
Using python,
f(x) = 3x3-4x2+8x+12
Compute and plot the first and second numerical derivative of the funcrion f(x) = 3x3-4x2+8x+12 for 100 different values of x between (-10, 10).
Expert Solution
Step 1 Source Code Of Program
import numpy as np
import matplotlib.pyplot as plt
def f(x):
return 3*x**3-4*x**2+8*x+12
def numerical_derivative(f, x):
dx = 1e-4 # 0.0001
return (f(x+dx) - f(x)) / dx
def numerical_derivative2(f, x):
dx = 1e-4 # 0.0001
return (f(x+dx) - 2*f(x) + f(x-dx)) / dx**2
x = np.linspace(-10, 10, 100)
y = f(x)
y_deriv = numerical_derivative(f, x)
y_deriv2 = numerical_derivative2(f, x)
plt.plot(x, y_deriv, label='first derivative')
plt.plot(x, y_deriv2, label='second derivative')
plt.legend
plt.show
Step by step
Solved in 3 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.Recommended textbooks for you
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education