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

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

Illustration of logical built-in functions, Illustration of logical built-i...

Illustration of logical built-in functions: The function find returns the indices of a vector which meet certain criteria. For illustration, to find all the elements in a vect

Morphological reconstruction, how can reconstruct just part of an image usi...

how can reconstruct just part of an image using imreconstruct?

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

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(

Three-dimensional plots, Three-Dimensional Plots: The MATLAB has many ...

Three-Dimensional Plots: The MATLAB has many functions which will display three-dimensional plots. Most of these functions have similar name as corresponding two-dimensional p

Dimensions - matrix, Dimensions - matrix: The size and length function...

Dimensions - matrix: The size and length functions in the MATLAB are used to find array dimensions. Length function returns the number of elements in the vector. The size func

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

Illustration of nested function, Illustration of nested function: The ...

Illustration of nested function: The output arguments are distinct from variables. The scope of an output argument is merely the nested function; and it cannot be used in the

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