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

User-defined functions - matlab, User-defined functions: Therefore, al...

User-defined functions: Therefore, although many functions compute and return values, some do not. A few functions rather merely accomplish a task. Regardless of what type of

Animation, Animation: In this part we will observe a couple of ways to...

Animation: In this part we will observe a couple of ways to animate a plot. These are visuals, therefore the outcomes can't really be shown here; it is essential to type these

Blanks function, Blanks function: The blanks function will generate a ...

Blanks function: The blanks function will generate a string consisting of n blank characters-that are kind of hard to see here! Though, in a MATLAB if the mouse is moved to hi

Logical vectors, Logical Vectors: The relational operators can also be...

Logical Vectors: The relational operators can also be used with the vectors and matrices. For illustration, let's say that there is a vector, and we want to compare each eleme

Illustration of empty vectors , Illustration of Empty vectors: The Emp...

Illustration of Empty vectors: The Empty vectors can also be used to delete elements from the arrays. For illustration, to remove the third element from array, an empty vector

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

Refer the subset of a matrix, Refer the subset of a matrix: It is also...

Refer the subset of a matrix: It is also possible to refer to the subset of a matrix. For illustration, this refers to the first & second rows, second & third columns: >> m

Built in recursive function in matlab, Built in recursive function in MATLA...

Built in recursive function in MATLAB: We have seen that the built-in function in MATLAB to compute factorials, termed as the factorial and we know how to implement the iterat

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

Fprintf function - file function, fprintf function - File function: Th...

fprintf function - File function: The fprintf function really returns the number of bytes which was written to the file, therefore if you do not want to see that number, suppr

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