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

Posted Date: 10/22/2012 9:00:31 AM | Location : United States

Ask an Expert

Related Discussions:- Built-in function for differentiation, Assignment Help, Ask Question on Built-in function for differentiation, Get Answer, Expert's Help, Built-in function for differentiation Discussions

Write discussion on Built-in function for differentiation
Your posts are moderated

Write your message here..

Related Questions

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

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

Example of recursive functions, Example of Recursive functions: This d... Example of Recursive functions: This definition is recursive as a factorial is defined in terms of the other factorial. There are two parts to any recursive definition: the co

Labels and prompts, Labels and Prompts: The script loads all the numbe... Labels and Prompts: The script loads all the numbers from file into a row vector. It then splits the vector; it stores the initial element that is the experiment number in a v

Algebra, 5 p2+8p+15, 3 p2-3p-18, 12 p... 5 p2+8p+15, 3 p2-3p-18, 12 p2-p-30

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

Use of string variables, Use of string variables: The Characters invol... Use of string variables: The Characters involve letters of the alphabet, punctuation marks, digits, white space, and control characters. The Control characters are characters

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, >>

Strvcat function - concatenation, strvcat function - concatenation: Th... strvcat function - concatenation: The function strvcat will concatenate it vertically, that means that it will generate a column vector of the strings.   >> strvcat(fir

Three-dimensional pie and bar, Three-dimensional pie and bar: For the ... Three-dimensional pie and bar: For the bar3 function, x & y vectors are passed and the function displays three-dimensional bars as shown in figure: Figure: Three-dimen