Octave - Numerical Derivatives in Octave 1.) 2.) 3.) Create an m-file called exercise3_first name_last name.m Create the variable delx = "; 100 Create the matrix x = (0: delx: 8π)
Octave - Numerical Derivatives in Octave 1.) 2.) 3.) Create an m-file called exercise3_first name_last name.m Create the variable delx = "; 100 Create the matrix x = (0: delx: 8π)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Octave - Numerical Derivatives in Octave
1.)
2.)
3.)
4.)
5.)
6.)
7.)
8.)
9.)
10.)
11.)
Create an m-file called exercise3_first name_last name.m
Create the variable delx = "; 100
Create the matrix x = (0: delx: 8n)
Create a second matrix called y = cos(2x);
You're going to create a numerical approximation to the derivative of y
(2x). Create the matrix dy by giving the function diff your matrix y.
Your last step is to create the matrix dydx by dividing dy by delx.
Graph x vs. y in red dots.
Graph the derivative in black dots. To graph it, you'll have to use x (2: end).
That's because diff returns a matrix with one less element. So, you can't use x, it
has one too many values.
Calculate the true derivative by hand and graph it in green dots.
Add a legend, title, x label, and y label. You don't need units in the labels.
Answer the following question using the disp () function. As Ax gets smaller,
should the approximation get better or worse? Justify your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F78020af4-edac-45d4-a6db-c9f21dc2273f%2F8e8fde10-75ff-4e56-a90f-d2956023721e%2Fd7jwh0a_processed.png&w=3840&q=75)
Transcribed Image Text:Octave - Numerical Derivatives in Octave
1.)
2.)
3.)
4.)
5.)
6.)
7.)
8.)
9.)
10.)
11.)
Create an m-file called exercise3_first name_last name.m
Create the variable delx = "; 100
Create the matrix x = (0: delx: 8n)
Create a second matrix called y = cos(2x);
You're going to create a numerical approximation to the derivative of y
(2x). Create the matrix dy by giving the function diff your matrix y.
Your last step is to create the matrix dydx by dividing dy by delx.
Graph x vs. y in red dots.
Graph the derivative in black dots. To graph it, you'll have to use x (2: end).
That's because diff returns a matrix with one less element. So, you can't use x, it
has one too many values.
Calculate the true derivative by hand and graph it in green dots.
Add a legend, title, x label, and y label. You don't need units in the labels.
Answer the following question using the disp () function. As Ax gets smaller,
should the approximation get better or worse? Justify your answer.
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