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

Counting in a while loop, Counting in a While Loop: Whenever it is not...

Counting in a While Loop: Whenever it is not known ahead of the time how many values will be entered into the script, it is often essential to count the number of values which

Function fopen - file function, Function fopen - file function: The pe...

Function fopen - file function: The permission string in the call to the fopen function identifies that the file is opened for writing to it. Just as when reading from a file,

Indexed empty matrix, Indexed empty matrix: The Individual elements ca...

Indexed empty matrix: The Individual elements cannot be eliminated from matrices, as matrices always have the similar number of elements in every row. >> mat = [7 9 8; 4 6

Writing and reading spreadsheet files, Writing and Reading Spreadsheet File...

Writing and Reading Spreadsheet Files: The MATLAB functions xlswrite & xlsread will write to and read from the spreadsheet files which have the extension .xls. For illustratio

Strings as matrix, Strings as matrix: The matrix can be generated, tha...

Strings as matrix: The matrix can be generated, that consists of strings in each row. Therefore, essentially it is created as a column vector of strings, but the final result

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

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

Empty vectors, Empty Vectors: An empty vector or in another words, a v...

Empty Vectors: An empty vector or in another words, a vector which stores no values, can be generated using the empty square brackets: >> evec = [] evec = [] >> lengt

Program of built-in factorial function, Program of built-in factorial funct...

Program of built-in factorial function: Calling this function yields similar result as the built-in factorial function: >> fact(5) ans =   120 >> factorial(

Built-in function for differentiation, Built-in function for Differentiatio...

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, >>

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