Built-in function for differentiation, MATLAB in Mathematics

Assignment Help:

Built-in function for Differentiation:

The MATLAB has a built-in function, diff that returns the differences between consecutive elements in a vector. For illustration,

>> diff([4 7 15 32])

ans =

3 8 17

For a function y = f(x) here x is a vector, and the values of f  '(x) can be approximated as diff(y) divided by diff(x). For illustration, the earlier equation can be written as an anonymous function.

>> f = @ (x) x .^ 3 + 2 .* x .^ 2 - 4 .* x + 3;

>> x = 1:3;

>> y = f(x)

y =

2 11 36

>> diff(y)

ans =

   9 25

>> diff(x)

ans =

   1 1

>> diff(y) ./ diff(x)

ans =

9 25


Related Discussions:- Built-in function for differentiation

Illustration of writing to files, Illustration of Writing to files: He...

Illustration of Writing to files: Here is the other illustration in which a matrix is written to a file. At First, an arbitrary 2 × 4 matrix is generated, and then it is writt

Illustration of spreadsheet files, Illustration of Spreadsheet Files: ...

Illustration of Spreadsheet Files: This reads the numbers in a double vector variable nums and the text in a cell array txt (the xlsread function forever returns the numbers f

Cholesky factorisation of packed storage matrix, If I have a vector represe...

If I have a vector representing the packed storage form of a symmetric matrix, how do I perform a cholesky factorisation on that?

Illustration of labels and prompts, Illustration of Labels and prompts: ...

Illustration of Labels and prompts: The program below prompts the user for endpoints (x1, y1) and (x2, y2) of a line segment, and computes the midpoint of the line segment, th

Optimal foraging theory, This project requires you to use the ideas of Chap...

This project requires you to use the ideas of Chapter 25 regarding maximization of a function. Here we assume that evolution has acted to generate highly efficient foragers. By hig

Types of user-defined functions, Types of User-defined Functions: We k...

Types of User-defined Functions: We know how to write a user-defined function, stored in an M-file, which computes and returns one value. This is merely one type of the functi

Functions to create special matrices, Functions to create special matrices:...

Functions to create special matrices: The MATLAB also has various functions which create special matrices. For illustration, the zeros function generates a matrix of all zeros

Example of symbolic expression, Example of Symbolic Expression When the...

Example of Symbolic Expression When there is more than one variable, the MATLAB selects which to solve for. In the illustration below, the equation ax 2 + bx = 0 is solved. Th

User input in the while loop - program, User input in the while loop: ...

User input in the while loop: Here is an illustration of running this script: >> readonenum Enter a positive number: -5 Invalid! Enter a positive number: -2.2

Histogram - plot functions, Histogram: The histogram is a particular t...

Histogram: The histogram is a particular type of bar chart which shows the frequency of occurrence of the values within a vector. The Histograms use what are known as bins to

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd